\n

\n \n 2024\n \n \n (3)\n \n \n

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\n \n\n \n \n \n \n \n \n Lévy flights and Lévy walks under stochastic resetting.\n \n \n \n \n\n\n \n Żbik, B.; and Dybiec, B.\n\n\n \n\n\n\n Phys. Rev. E, 109: 044147. Apr 2024.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{PhysRevE.109.044147,\n  title = {L\\'evy flights and L\\'evy walks under stochastic resetting},\n  author = {\\.{Z}bik, Bartosz and Dybiec, Bart�omiej},\n  journal = {Phys. Rev. E},\n  volume = {109},\n  issue = {4},\n  pages = {044147},\n  numpages = {9},\n  year = {2024},\n  month = {Apr},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.109.044147},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.109.044147}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Inderdigitation, double twist, and topological defects in a system of hard lollipops.\n \n \n \n \n\n\n \n Kubala, P.; and Cie�la, M.\n\n\n \n\n\n\n Liquid Crystals, 0(0): 1–14. 2024.\n \n\n\n\n
\n\n\n\n \n \n $\"Inderdigitation,$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{doi:10.1080/02678292.2024.2310611,\nauthor = {Piotr Kubala and Micha� Cie�la},\ntitle = {Inderdigitation, double twist, and topological defects in a system of hard lollipops},\njournal = {Liquid Crystals},\nvolume = {0},\nnumber = {0},\npages = {1--14},\nyear = {2024},\npublisher = {Taylor \\& Francis},\ndoi = {10.1080/02678292.2024.2310611},\n\n\nURL = { \n    \n        https://doi.org/10.1080/02678292.2024.2310611\n    \n    \n\n},\neprint = { \n    \n        https://doi.org/10.1080/02678292.2024.2310611\n    \n    \n\n}\n\n}\n

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\n \n\n \n \n \n \n \n \n Competitive random sequential adsorption of binary mixtures of disks and discorectangles.\n \n \n \n \n\n\n \n Lebovka, N.; Cieśla, M.; Petrone, L.; and Vygornitskii, N.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 57(9): 095001. 2024.\n \n\n\n\n
\n\n\n\n \n \n $\"Competitive$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Lebovka_2024,\ndoi = {10.1088/1751-8121/ad2727},\nurl = {https://dx.doi.org/10.1088/1751-8121/ad2727},\nyear = {2024},\nvolume = {57},\nnumber = {9},\npages = {095001},\nauthor = {Nikolai Lebovka and Michał Cieśla and Luca Petrone and Nikolai Vygornitskii},\ntitle = {Competitive random sequential adsorption of binary mixtures of disks and discorectangles},\njournal = {Journal of Physics A: Mathematical and Theoretical},\nabstract = {The two-dimensional (2D) packings of binary mixtures of disks with diameter $d$ and discorectangles with aspect ratio $\\varepsilon$ (length-to-width ratio $\\varepsilon=l/d$) were studied numerically. The competitive random sequential adsorption (RSA) with simultaneous deposition of particles was considered. The aspect ratio was changed within the range $\\varepsilon=1-10$. In the competitive model, the particle was selected with probability $p_d$ (disks) and $p_\\varepsilon=1-p_d$ (discorectangles), and then they were placed sequentially on a solid surface without overlapping with previously placed particles. Behavior of the total coverage in jamming state $\\phi_T$  at different values of $p_d$ and $\\varepsilon$ was analyzed. For core–shell structure of the particles the percolation connectivity of films was also discussed.}\n}\n\n

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\n \n 2023\n \n \n (12)\n \n \n

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\n \n\n \n \n \n \n \n \n Splay-induced order in systems of hard tapers.\n \n \n \n \n\n\n \n Kubala, P.; Ciesla, M.; and Longa, L.\n\n\n \n\n\n\n Phys. Rev. E, 108: 054701. Nov 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Splay-induced$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{PhysRevE.108.054701,\n  title = {Splay-induced order in systems of hard tapers},\n  author = {Kubala, Piotr and Ciesla, Michal and Longa, Lech},\n  journal = {Phys. Rev. E},\n  volume = {108},\n  issue = {5},\n  pages = {054701},\n  numpages = {18},\n  year = {2023},\n  month = {Nov},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.108.054701},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.108.054701}\n}\n\n

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\n \n\n \n \n \n \n \n \n Conformational degrees of freedom and stability of splay-bend ordering in the limit of a very strong planar anchoring.\n \n \n \n \n\n\n \n Longa, L.; Ciesla, M.; Karbowniczek, P.; and Chrzanowska, A.\n\n\n \n\n\n\n Phys. Rev. E, 107: 034707. Mar 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Conformational$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{PhysRevE.107.034707,\n  title = {Conformational degrees of freedom and stability of splay-bend ordering in the limit of a very strong planar anchoring},\n  author = {Longa, L. and Ciesla, M. and Karbowniczek, P. and Chrzanowska, A.},\n  journal = {Phys. Rev. E},\n  volume = {107},\n  issue = {3},\n  pages = {034707},\n  numpages = {13},\n  year = {2023},\n  month = {Mar},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.107.034707},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.107.034707}\n}\n\n

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\n \n\n \n \n \n \n \n Chromosome packing in cell nuclei: towards understanding of radiation-induced gene translocation frequency.\n \n \n \n\n\n \n Deperas-Standyło, J.; Cieśla, M.; Hartel, C.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica. B, 54(10). 2023.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{DeperasStandylo2023,\nyear = "2023",\ntitle = "Chromosome packing in cell nuclei: towards understanding of radiation-induced gene translocation frequency",\nvolume = "54",\nnumber = "10",\njournal = "Acta Physica Polonica. B",\naffiliation = "Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej",\nauthor = "Deperas-Standyło, Joanna and Cieśla,Michał and Hartel,Carola and Gudowska-Nowak,Ewa",\ndoi="10.5506/APhysPolB.54.10-A2"}\n\n\n

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\n\n\n

\n \n\n \n \n \n \n \n \n Weighted Axelrod model: Different but similar.\n \n \n \n \n\n\n \n Kalinowska, Z.; and Dybiec, B.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 630: 129281. 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Weighted$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@article{KALINOWSKA2023129281,\ntitle = {Weighted Axelrod model: Different but similar},\njournal = {Physica A: Statistical Mechanics and its Applications},\nvolume = {630},\npages = {129281},\nyear = {2023},\nissn = {0378-4371},\ndoi = {https://doi.org/10.1016/j.physa.2023.129281},\nurl = {https://www.sciencedirect.com/science/article/pii/S0378437123008361},\nauthor = {Zuzanna Kalinowska and Bartłomiej Dybiec},\nkeywords = {Agent based modeling, Social dynamics, Axelrod model, Extended conservativeness},\nabstract = {The Axelrod model is a cellular automaton which can be used to describe the emergence and development of cultural domains, where culture is represented by a fixed number of cultural features taking a discrete set of possible values (traits). The Axelrod model is based on two sociological phenomena: homophily (a tendency for individuals to form bonds with people similar to themselves) and social influence (the way how individuals change their behavior due to social pressure). However, the Axelrod model does not take into account the fact that cultural attributes may have different significance for a given individual. This is a limitation in the context of how the model reflects mechanisms driving the evolution of real societies. The study aims to modify the Axelrod model by giving individual features different weights that have a decisive impact on the possibility of aligning cultural traits between (interacting) individuals. The comparison of the results obtained for the classic Axelrod model and its modified version shows that introduced weights have a significant impact on the course of the system development, in particular, increasing the final fragmentation of the system and increasing the time needed to reach the final state.}\n}\n\n

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\n \n\n \n \n \n \n \n \n Optimization of escape kinetics by reflecting and resetting.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(10): 103124. 10 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Optimization$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{10.1063/5.0159475,\n    author = {Capała, Karol and Dybiec, Bartłomiej},\n    title = "{Optimization of escape kinetics by reflecting and resetting}",\n    journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\n    volume = {33},\n    number = {10},\n    pages = {103124},\n    year = {2023},\n    month = {10},\n    abstract = "{Stochastic restarting is a strategy of starting anew. Incorporation of the resetting to the random walks can result in a decrease in the mean first passage time due to the ability to limit unfavorably meandering, sub-optimal trajectories. In this paper, we examine how stochastic resetting influences escape dynamics from the   ( − ∞ , 1 ) interval in the presence of the single-well power-law    | x   | κ potentials with   κ \\\\&gt; 0. Examination of the mean first passage time is complemented by the analysis of the coefficient of variation, which provides a robust and reliable indicator assessing the efficiency of stochastic resetting. The restrictive nature of resetting is compared to placing a reflective boundary in the system at hand. In particular, for each potential, the position of the reflecting barrier giving the same mean first passage time as the optimal resetting rate is determined. Finally, in addition to reflecting, we compare the effectiveness of other resetting strategies with respect to optimization of the mean first passage time.}",\n    issn = {1054-1500},\n    doi = {10.1063/5.0159475},\n    url = {https://doi.org/10.1063/5.0159475},\n    eprint = {https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0159475/18169355/103124\\_1\\_5.0159475.pdf},\n}\n\n

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\n\n\n\n\n\n

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\n \n\n \n \n \n \n \n \n Resetting induced multimodality.\n \n \n \n \n\n\n \n Pogorzelec, P.; and Dybiec, B.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(6). 06 2023.\n 063105\n\n\n\n
\n\n\n\n \n \n $\"Resetting$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@article{10.1063/5.0143821,\n    author = {Pogorzelec, P. and Dybiec, B.},\n    title = "{Resetting induced multimodality}",\n    journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\n    volume = {33},\n    number = {6},\n    year = {2023},\n    month = {06},\n    abstract = "{Properties of stochastic systems are defined by the noise type and deterministic forces acting on the system. In out-of-equilibrium setups, e.g., for motions under action of Lévy noises, the existence of the stationary state is not only determined by the potential but also by the noise. Potential wells need to be steeper than parabolic in order to assure the existence of stationary states. The existence of stationary states, in sub-harmonic potential wells, can be restored by stochastic resetting, which is the protocol of starting over at random times. Herein, we demonstrate that the combined action of Lévy noise and Poissonian stochastic resetting can result in the phase transition between non-equilibrium stationary states of various multimodality in the overdamped system in super-harmonic potentials. Fine-tuned resetting rates can increase the modality of stationary states, while for high resetting rates, the multimodality is destroyed as the stochastic resetting limits the spread of particles.}",\n    issn = {1054-1500},\n    doi = {10.1063/5.0143821},\n    url = {https://doi.org/10.1063/5.0143821},\n    note = {063105},\n    eprint = {https://pubs.aip.org/aip/cha/article-pdf/doi/10.1063/5.0143821/17960782/063105\\_1\\_5.0143821.pdf},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic kinetics under combined action of two noise sources.\n \n \n \n \n\n\n \n Pogorzelec, P.; and Dybiec, B.\n\n\n \n\n\n\n Phys. Rev. E, 107: 044124. Apr 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.107.044124,\n  title = {Stochastic kinetics under combined action of two noise sources},\n  author = {Pogorzelec, P. and Dybiec, B.},\n  journal = {Phys. Rev. E},\n  volume = {107},\n  issue = {4},\n  pages = {044124},\n  numpages = {10},\n  year = {2023},\n  month = {Apr},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.107.044124},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.107.044124}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Escape from the potential well: accelerating by shaping and noise tuning.\n \n \n \n \n\n\n \n Dybiec, B.; and Zawiślak, M.\n\n\n \n\n\n\n Physica Scripta, 98(2): 025216. jan 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Dybiec_2023,\ndoi = {10.1088/1402-4896/acb46b},\nurl = {https://dx.doi.org/10.1088/1402-4896/acb46b},\nyear = {2023},\nmonth = {jan},\npublisher = {IOP Publishing},\nvolume = {98},\nnumber = {2},\npages = {025216},\nauthor = {Dybiec, B. and Zawiślak, M.},\ntitle = {Escape from the potential well: accelerating by shaping and noise tuning},\njournal = {Physica Scripta},\nabstract = {Noise driven escape from the potential well is the basic component of various noise induced effects. The efficiency of the escape process or time scales matching is responsible for occurrence of the stochastic resonance and (stochastic) resonant activation. Here, we are extending the discussion on how the structure of the potential can be used to optimize the mean first passage time. It is demonstrated that corrugation of the potential can be beneficial under action of the weak Gaussian white noise. Furthermore, we show that the noise tuning can be more effective than shaping the potential. Therefore, action of the tuned additive α-stable noise can accelerate the escape kinetics more than corrugation of the potential. Finally, we demonstrate that mean first passage time from a potential well can be a non-monotonous function of the stability index α.}\n}\n\n

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\n \n\n \n \n \n \n \n \n Splay and polar order in a system of hard pear-like molecules: confrontation of Monte Carlo numerical simulations with density functional theory calculations.\n \n \n \n \n\n\n \n Kubala, P.; and Cieśla, M.\n\n\n \n\n\n\n Soft Matter, 19: 7836-7845. 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Splay$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@Article{D3SM01021J,\nauthor ="Kubala, P. and Cieśla, M.",\ntitle  ="Splay and polar order in a system of hard pear-like molecules: confrontation of Monte Carlo numerical simulations with density functional theory calculations",\njournal  ="Soft Matter",\nyear  ="2023",\nvolume  ="19",\nissue  ="40",\npages  ="7836-7845",\npublisher  ="The Royal Society of Chemistry",\ndoi  ="10.1039/D3SM01021J",\nurl  ="http://dx.doi.org/10.1039/D3SM01021J",\nabstract  ="Recent experimental discoveries of novel nematic types with polar order{,} including ferroelectric nematic and splay nematic{,} have brought the resurgence of the interest in polar and modulated phases. One of the most important factors that is widely believed to be crucial for the formation of new phases is the pear-like shape of mesogenic molecules. Such molecules were treated using second-virial density functional theory in [De Gregorio{,} P et al.{,} Soft Matter{,} 2016{,} 12(23){,} 5188–5198]{,} where the authors showed that the K11 splay elastic constant can become negative due to solely entropic reasons leading to long-range splay and polar correlations. To verify whether the predictions are correct{,} we performed Monte Carlo simulations of the same hard–core molecules used in the DFT study. As our results suggest{,} no polar or modulated liquid crystalline phases emerge; polar and splay correlations are either at most short-range or completely absent. On the other hand{,} a polar ferroelectric splay crystal was observed."}\n\n

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\n \n\n \n \n \n \n \n \n Growth Kinetics of Random Sequential Adsorption Packings Built of Two-Dimensional Shapes with Discrete Orientations.\n \n \n \n \n\n\n \n Cieśla, M.; Kubala, P.; and Zantowicz, W.\n\n\n \n\n\n\n Journal of Statistical Physics, 190(10): 157. Oct 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Growth$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@Article{Ciesla2023,\nauthor={Cieśla, M.\nand Kubala, P.\nand Zantowicz, W.},\ntitle={Growth Kinetics of Random Sequential Adsorption Packings Built of Two-Dimensional Shapes with Discrete Orientations},\njournal={Journal of Statistical Physics},\nyear={2023},\nmonth={Oct},\nday={13},\nvolume={190},\nnumber={10},\npages={157},\nabstract={We studied random sequential adsorption packings constructed from rectangles, ellipses, and discorectangles, where the orientations of constituent shapes were picked from discrete sets of values with varying spacing. It allowed us to monitor the transition between the two edge cases: the parallel alignment and the arbitrary, continuous orientation of the shapes within the packing. The packings were generated numerically. Apart from determining the kinetics of packing growth in low- and high-density regimes, we analyzed the results in terms of packing density and probed the microstructural properties using the density autocorrelation function.},\nissn={1572-9613},\ndoi={10.1007/s10955-023-03167-7},\nurl={https://doi.org/10.1007/s10955-023-03167-7}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Random sequential adsorption of aligned regular polygons and rounded squares: Transition in the kinetics of packing growth.\n \n \n \n \n\n\n \n Cieśla, M.; Kubala, P.; and Moud, A. A.\n\n\n \n\n\n\n Phys. Rev. E, 107: 054904. May 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Random$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.107.054904,\n  title = {Random sequential adsorption of aligned regular polygons and rounded squares: Transition in the kinetics of packing growth},\n  author = {Cieśla, M. and Kubala, P. and Moud, A. A.},\n  journal = {Phys. Rev. E},\n  volume = {107},\n  issue = {5},\n  pages = {054904},\n  numpages = {7},\n  year = {2023},\n  month = {May},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.107.054904},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.107.054904}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Lévy Flights Diffusion with Drift in Heterogeneous Membranes.\n \n \n \n \n\n\n \n \n\n\n \n\n\n\n Membranes, 13(4). 2023.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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\n \n 2022\n \n \n (2)\n \n \n

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\n \n\n \n \n \n \n \n \n Editorial: The Fluctuation-Dissipation Theorem Today.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Oliveira, F. A.; and Wio, H. S.\n\n\n \n\n\n\n Frontiers in Physics, 10. 2022.\n \n\n\n\n
\n\n\n\n \n \n $\"Editorial:$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{10.3389/fphy.2022.859799,\n  \nAUTHOR={Gudowska-Nowak, E. and Oliveira, F. A. and Wio, H. S.},   \n\t \nTITLE={Editorial: The Fluctuation-Dissipation Theorem Today},      \n\t\nJOURNAL={Frontiers in Physics},      \n\t\nVOLUME={10},      \n\t\nYEAR={2022},      \n\t  \nURL={https://www.frontiersin.org/article/10.3389/fphy.2022.859799},       \n\t\nDOI={10.3389/fphy.2022.859799},      \n\t\nISSN={2296-424X}   \n   \n}\n\n

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\n \n\n \n \n \n \n \n \n Drifted escape from the finite interval.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Phys. Rev. E, 105: 064125. Jun 2022.\n \n\n\n\n
\n\n\n\n \n \n $\"Drifted$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.105.064125,\n  title = {Drifted escape from the finite interval},\n  author = {Capała, K. and Dybiec, B.},\n  journal = {Phys. Rev. E},\n  volume = {105},\n  issue = {6},\n  pages = {064125},\n  numpages = {8},\n  year = {2022},\n  month = {Jun},\n  publisher = {American Physical Society},\n  doi = {10.1103/PhysRevE.105.064125},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.105.064125}\n}\n\n

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\n \n 2021\n \n \n (5)\n \n \n

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\n \n\n \n \n \n \n \n \n Random acceleration process on finite intervals under stochastic restarting.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2021(8): 083216. 2021.\n \n\n\n\n
\n\n\n\n \n \n $\"Random$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Capala_Dybiec_2021,\n\tdoi = {10.1088/1742-5468/ac1664},\n\turl = {https://doi.org/10.1088/1742-5468/ac1664},\n\tyear = {2021},\n\tpublisher = {{IOP} Publishing},\n\tvolume = {2021},\n\tnumber = {8},\n\tpages = {083216},\n\tauthor = {Capała, K. and Dybiec, B.},\n\ttitle = {Random acceleration process on finite intervals under stochastic restarting},\n\tjournal = {Journal of Statistical Mechanics: Theory and Experiment},\n\tabstract = {The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by the position and velocity. We compare three resetting protocols, which restarts velocity or position (partial resetting) and the whole motion (position and velocity—full resetting). Using the mean first passage time we assess efficiency of restarting protocols in facilitating or suppressing the escape kinetics. There are fundamental differences between partial resetting scenarios which restart velocity or position, as in the limit of very frequent resets only the position resetting (regardless of initial velocity) can trap the particle in the finite domain of motion. The velocity resetting or the simultaneous position and velocity restarting provide a possibility of facilitating the undamped escape kinetics.}\n}\n\n

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\n \n\n \n \n \n \n \n \n Inertial Lévy flights in bounded domains.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(8): 083120. 2021.\n \n\n\n\n
\n\n\n\n \n \n $\"Inertial$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{doi:10.1063/5.0054634,\nauthor = {Capała, K.  and Dybiec, B.},\ntitle = {Inertial Lévy flights in bounded domains},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {31},\nnumber = {8},\npages = {083120},\nyear = {2021},\ndoi = {10.1063/5.0054634},\nURL = {https://doi.org/10.1063/5.0054634},\neprint = {https://doi.org/10.1063/5.0054634}\n}\n\n

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\n \n\n \n \n \n \n \n Physics of free climbing.\n \n \n \n\n\n \n Dybiec, B.; Capała, K.; and Barbasz, J.\n\n\n \n\n\n\n Phys. Rev. E, 103: 062135. 2021.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.103.062135,\n  title = {Physics of free climbing},\n  author = {Dybiec, B. and Capała, K. and Barbasz, J.},\n  journal = {Phys. Rev. E},\n  volume = {103},\n  issue = {6},\n  pages = {062135},\n  numpages = {6},\n  year = {2021},\n  doi = {10.1103/PhysRevE.103.062135}\n}\n\n

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\n \n\n \n \n \n \n \n Dichotomous flow with thermal diffusion and stochastic resetting.\n \n \n \n\n\n \n Capała, K.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(6): 063123. 2021.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{doi:10.1063/5.0052789,\nauthor = {Capała, K.  and Dybiec, B.  and Gudowska-Nowak, E.},\ntitle = {Dichotomous flow with thermal diffusion and stochastic resetting},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {31},\nnumber = {6},\npages = {063123},\nyear = {2021},\ndoi = {10.1063/5.0052789}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Deterministic force-free resonant activation.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2021(2): 023203. 2021.\n \n\n\n\n
\n\n\n\n \n \n $\"Deterministic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Capala_2021,\n\tdoi = {10.1088/1742-5468/abd939},\n\turl = {https://doi.org/10.1088/1742-5468/abd939},\n\tyear = {2021},\n\tpublisher = {{IOP} Publishing},\n\tvolume = {2021},\n\tnumber = {2},\n\tpages = {023203},\n\tauthor = {Capała, K. and Dybiec, B.},\n\ttitle = {Deterministic force-free resonant activation},\n\tjournal = {Journal of Statistical Mechanics: Theory and Experiment},\n\tabstract = {The combined action of noise and deterministic force in dynamical systems can induce resonant effects. Here, we demonstrate a minimal, deterministic force-free setup allowing for the occurrence of resonant, noise-induced effects. We show that in the archetypal problem of escape from finite intervals driven by α-stale noise with a periodically modulated stability index, depending on the initial direction of the modulation, resonant-activation-like or noise-enhanced-stability-like phenomena can be observed. Consequently, in comparison to traditional Lévy flights, Lévy flights with a time-dependent jump length exponent are capable of facilitating or slowing down the escape from finite intervals in an analogous way, such as the modulation of the potential in the resonant activation setup.}\n}\n\n

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\n \n 2020\n \n \n (13)\n \n \n

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\n \n\n \n \n \n \n \n Twist–Bend Nematic Phase from the Landau–de Gennes Perspective.\n \n \n \n\n\n \n Longa, L.; and Tomczyk, W.\n\n\n \n\n\n\n The Journal of Physical Chemistry C, 124(41): 22761-22775. 2020.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Longa2020,\nauthor = {Longa, Lech and Tomczyk, Wojciech},\ntitle = {Twist–Bend Nematic Phase from the Landau–de Gennes Perspective},\njournal = {The Journal of Physical Chemistry C},\nvolume = {124},\nnumber = {41},\npages = {22761-22775},\nyear = {2020},\ndoi = {10.1021/acs.jpcc.0c05711}\n}\n\n

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\n \n\n \n \n \n \n \n Role of molecular bend angle and biaxiality in the stabilization of the twist-bend nematic phase.\n \n \n \n\n\n \n Tomczyk, W.; and Longa, L.\n\n\n \n\n\n\n Soft Matter, 16: 4350-4357. 2020.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@Article{Tomczyk2020,\nauthor ="Tomczyk, W. and Longa, L.",\ntitle  ="Role of molecular bend angle and biaxiality in the stabilization of the twist-bend nematic phase",\njournal  ="Soft Matter",\nyear  ="2020",\nvolume  ="16",\nissue  ="18",\npages  ="4350-4357",\ndoi  ="10.1039/D0SM00078G",\nabstract  ="What are the prerequisites for acquiring a stable twist-bend nematic phase (NTB)? Addressing this question has led to the synthesis of a vast number of new compounds{,} concluding each time that the molecule{'}s shape is one of the predominant factors. Inspired by the expanding knowledge of different achiral bent-shaped molecules forming a twist-bend nematic phase{,} we reinvestigate the interplay between a molecule{'}s bend angle and a molecule{'}s arms molecular biaxiality. Employing our previously developed generalized mean-field model{,} we explore more obtuse bend angles. We observe direct phase transition sequences between locally biaxial and uniaxial variants of NTB{,} along with biaxial and uniaxial nematic phases. Additionally{,} we present a comprehensive overview of how phase diagrams evolve according to alterations in the value of the bend angle and the magnitude of biaxiality."}\n\n\n

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\n \n\n \n \n \n \n \n Delineating elastic properties of kinesin linker and their sensitivity to point mutations.\n \n \n \n\n\n \n Świątek, M.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Scientific Reports, 10(1): 4832-4845. 2020.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@Article{Swiatek2020,\nauthor={Świątek, M. and Gudowska-Nowak, E.},\ntitle={Delineating elastic properties of kinesin linker and their sensitivity to point mutations},\njournal={Scientific Reports},\nyear={2020},\nvolume={10},\nnumber={1},\npages={4832-4845},\nabstract={We analyze free energy estimators from simulation trials mimicking single-molecule pulling experiments on a neck linker of a kinesin motor. For that purpose, we have performed a version of steered molecular dynamics (SMD) calculations. The sample trajectories have been analyzed to derive distribution of work done on the system. In order to induce stretching of the linker, we have applied a constant pulling force to the molecule and allowed for a subsequent relaxation of its structure. The use of fluctuation relations (FR) relevant to non-equilibrium systems subject to thermal fluctuations allows us to assess the difference in free energy between stretched and relaxed conformations. To further understand effects of potential mutations on elastic properties of the linker, we have performed similar in silico studies on a structure formed of a polyalanine sequence (Ala-only) and on three other structures, created by substituting selected types of amino acid residues in the linker's sequence with alanine (Ala) ones. The results of SMD simulations indicate a crucial role played by the Asparagine (Asn) and Lysine (Lys) residues in controlling stretching and relaxation properties of the linker domain of the motor.},\ndoi={10.1038/s41598-020-61399-z}\n}\n\n\n\n

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\n \n\n \n \n \n \n \n Erratum: Subdiffusive continuous-time random walks with stochastic resetting [Phys. Rev. E 99, 052116 (2019)].\n \n \n \n\n\n \n Kuśmierz, Ł.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E, 101: 029904. 2020.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.101.029904,\n  title = {Erratum: Subdiffusive continuous-time random walks with stochastic resetting [Phys. Rev. E 99, 052116 (2019)]},\n  author = {Kuśmierz, Ł. and Gudowska-Nowak, E.},\n  journal = {Physical Review E},\n  volume = {101},\n  issue = {2},\n  pages = {029904},\n  year = {2020},\n  doi = {10.1103/PhysRevE.101.029904}\n}\n\n\n\n

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\n \n\n \n \n \n \n \n \n From Synaptic Interactions to Collective Dynamics in Random Neuronal Networks Models: Critical Role of Eigenvectors and Transient Behavior.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Nowak, M. A.; Chialvo, D. R.; Ochab, J. K.; and Tarnowski, W.\n\n\n \n\n\n\n Neural Computation, 32(2): 395-423. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"From$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n \n \n 4 downloads\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Gudowska2020,\nauthor = {Gudowska-Nowak, E. and Nowak, M. A. and Chialvo, D. R. and Ochab, J. K. and Tarnowski, W.},\ntitle = {From Synaptic Interactions to Collective Dynamics in Random Neuronal Networks Models: Critical Role of Eigenvectors and Transient Behavior},\njournal = {Neural Computation},\nvolume = {32},\nnumber = {2},\npages = {395-423},\nyear = {2020},\ndoi = {10.1162/neco\\_a\\_01253},\nURL = {https://doi.org/10.1162/neco_a_01253},\nabstract = { The study of neuronal interactions is at the center of several big collaborative neuroscience projects (including the Human Connectome Project, the Blue Brain Project, and the Brainome) that attempt to obtain a detailed map of the entire brain. Under certain constraints, mathematical theory can advance predictions of the expected neural dynamics based solely on the statistical properties of the synaptic interaction matrix. This work explores the application of free random variables to the study of large synaptic interaction matrices. Besides recovering in a straightforward way known results on eigenspectra in types of models of neural networks proposed by Rajan and Abbott (2006), we extend them to heavy-tailed distributions of interactions. More important, we analytically derive the behavior of eigenvector overlaps, which determine the stability of the spectra. We observe that on imposing the neuronal excitation/inhibition balance, despite the eigenvalues remaining unchanged, their stability dramatically decreases due to the strong nonorthogonality of associated eigenvectors. This leads us to the conclusion that understanding the temporal evolution of asymmetric neural networks requires considering the entangled dynamics of both eigenvectors and eigenvalues, which might bear consequences for learning and memory processes in these models. Considering the success of free random variables theory in a wide variety of disciplines, we hope that the results presented here foster the additional application of these ideas in the area of brain sciences. }\n}\n\n

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\n \n\n \n \n \n \n \n \n Nonlinear friction in underdamped anharmonic stochastic oscillators.\n \n \n \n \n\n\n \n Capała, K.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(7): 073140. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"Nonlinear$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{doi:10.1063/5.0007581,\nauthor = {Capała, K.  and Dybiec, B.  and Gudowska-Nowak, E.},\ntitle = {Nonlinear friction in underdamped anharmonic stochastic oscillators},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {30},\nnumber = {7},\npages = {073140},\nyear = {2020},\ndoi = {10.1063/5.0007581},\nURL = {https://doi.org/10.1063/5.0007581},\neprint = {https://doi.org/10.1063/5.0007581}\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy noise-driven escape from arctangent potential wells.\n \n \n \n \n\n\n \n Capała, K.; Padash, A.; Chechkin, A. V.; Shokri, B.; Metzler, R.; and Dybiec, B.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(12): 123103. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{doi:10.1063/5.0021795,\nauthor = {Capała, K.  and Padash, A.  and Chechkin, A. V.  and Shokri, B. and Metzler, R. and Dybiec, B.},\ntitle = {Lévy noise-driven escape from arctangent potential wells},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {30},\nnumber = {12},\npages = {123103},\nyear = {2020},\ndoi = {10.1063/5.0021795},\nURL = {https://doi.org/10.1063/5.0021795},\neprint = {https://doi.org/10.1063/5.0021795}\n}\n\n\n\n

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\n \n\n \n \n \n \n \n \n Underdamped, anomalous kinetics in double-well potentials.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E, 102: 052123. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"Underdamped,$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.102.052123,\n  title = {Underdamped, anomalous kinetics in double-well potentials},\n  author = {Capała, K. and Dybiec, B.},\n  journal = {Physical Review E},\n  volume = {102},\n  issue = {5},\n  pages = {052123},\n  numpages = {9},\n  year = {2020},\n  doi = {10.1103/PhysRevE.102.052123},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.102.052123}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Statistics of residence time for Lévy flights in unstable parabolic potentials.\n \n \n \n \n\n\n \n Dubkov, A. A.; Dybiec, B.; Spagnolo, B.; Kharcheva, A.; Guarcello, C.; and Valenti, D.\n\n\n \n\n\n\n Physical Review E, 102: 042142. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"Statistics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.102.042142,\n  title = {Statistics of residence time for L\\'evy flights in unstable parabolic potentials},\n  author = {Dubkov, A. A. and Dybiec, B. and Spagnolo, B. and Kharcheva, A. and Guarcello, C. and Valenti, D.},\n  journal = {Physical Review E},\n  volume = {102},\n  issue = {4},\n  pages = {042142},\n  numpages = {8},\n  year = {2020},\n  doi = {10.1103/PhysRevE.102.042142},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.102.042142}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Bounding energy growth in frictionless stochastic oscillators.\n \n \n \n \n\n\n \n Mandrysz, M.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E, 102: 022105. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"Bounding$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{PhysRevE.102.022105,\n  title = {Bounding energy growth in frictionless stochastic oscillators},\n  author = {Mandrysz, M. and Dybiec, B.},\n  journal = {Physical Review E},\n  volume = {102},\n  issue = {2},\n  pages = {022105},\n  numpages = {12},\n  year = {2020},\n  doi = {10.1103/PhysRevE.102.022105},\n  url = {https://link.aps.org/doi/10.1103/PhysRevE.102.022105}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n First passage time moments of asymmetric Lévy flights.\n \n \n \n \n\n\n \n Padash, A.; Chechkin, A. V.; Dybiec, B.; Magdziarz, M.; Shokri, B.; and Metzler, R.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 53(27): 275002. jun 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"First$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Padash2020,\n\tdoi = {10.1088/1751-8121/ab9030},\n\turl = {https://doi.org/10.1088/2F1751-8121/2Fab9030},\n\tyear = 2020,\n\tmonth = {jun},\n\tpublisher = {{IOP} Publishing},\n\tvolume = {53},\n\tnumber = {27},\n\tpages = {275002},\n\tauthor = {Padash, A. and Chechkin, A. V.  and Dybiec, B. and Magdziarz, M. and Shokri, B. and Metzler, R.},\n\ttitle = {First passage time moments of asymmetric L{\\'{e}}vy flights},\n\tjournal = {Journal of Physics A: Mathematical and Theoretical},\n\tabstract = {We investigate the first-passage dynamics of symmetric and asymmetric Lévy flights in semi-infinite and bounded intervals. By solving the space-fractional diffusion equation, we analyse the fractional-order moments of the first-passage time probability density function for different values of the index of stability and the skewness parameter. A comparison with results using the Langevin approach to Lévy flights is presented. For the semi-infinite domain, in certain special cases analytic results are derived explicitly, and in bounded intervals a general analytical expression for the mean first-passage time of Lévy flights with arbitrary skewness is presented. These results are complemented with extensive numerical analyses.}\n}\n\n\n

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\n \n\n \n \n \n \n \n Energy partition for anharmonic, undamped, classical oscillators.\n \n \n \n\n\n \n Mandrysz, M.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 53(19): 195001. 2020.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Mandrysz2020JPhysA,\ndoi = {10.1088/1751-8121/ab8135},\nyear = {2020},\nvolume = {53},\nnumber = {19},\npages = {195001},\nauthor = {Mandrysz, M. and Dybiec, B.},\ntitle = {Energy partition for anharmonic, undamped, classical oscillators},\njournal = {Journal of Physics A: Mathematical and Theoretical},\nabstract = {Using stochastic methods, general formulas for average kinetic and potential energies for anharmonic, undamped (frictionless), classical oscillators are derived. It is \tdemonstrated that for potentials of $|x|^\\nu$, $(\\nu > 0)$ type energies are equipartitioned for the harmonic potential only. For potential wells weaker than parabolic potential energy dominates, while for potentials stronger than parabolic kinetic energy prevails. Due to energy conservation, the variances of kinetic and potential energies are equal. In the limiting case of the infinite rectangular potential well $(\\nu\\rightarrow\\infty)$ the whole energy is stored in the form of the kinetic energy and variances of energy distributions vanish.}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Peculiarities of escape kinetics in the presence of athermal noises.\n \n \n \n \n\n\n \n Capała, K.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(1): 013127-013138. 2020.\n \n\n\n\n
\n\n\n\n \n \n $\"Peculiarities$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Capala2020,\nauthor = {Capała, K. and Dybiec, B.  and Gudowska-Nowak, E.},\ntitle = {Peculiarities of escape kinetics in the presence of athermal noises},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {30},\nnumber = {1},\npages = {013127-013138},\nyear = {2020},\ndoi = {10.1063/1.5126263},\nURL = {https://doi.org/10.1063/1.5126263},\nabstract = {Stochastic evolution of various dynamic systems and reaction networks is commonly described in terms of noise assisted escape of an overdamped particle from a potential well, as devised by the paradigmatic Langevin equation in which additive Gaussian stochastic force reproduces effects of thermal fluctuations from the reservoir. When implemented for systems close to equilibrium, the approach correctly explains the emergence of the Boltzmann distribution for the ensemble of trajectories generated by the Langevin equation and relates the intensity of the noise strength to the mobility. This scenario can be further generalized to include effects of non-Gaussian, burstlike forcing modeled by Lévy noise. In this case, however, the pulsatile additive noise cannot be treated as the internal (thermal) since the relation between the strength of the friction and variance of the noise is violated. Heavy tails of Lévy noise distributions not only facilitate escape kinetics, but also, more importantly, change the escape protocol by altering the final stationary state to a non-Boltzmann, nonequilibrium form. As a result, contrary to the kinetics induced by a Gaussian white noise, escape rates in environments with Lévy noise are determined not by the barrier height, but instead by the barrier width. We further discuss consequences of simultaneous action of thermal and Lévy noises on statistics of passage times and population of reactants in double-well potentials.}\n}\n\n

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\n \n 2019\n \n \n (10)\n \n \n

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\n \n\n \n \n \n \n \n \n Subdiffusive continuous-time random walks with stochastic resetting.\n \n \n \n \n\n\n \n Kuśmierz, L.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E, 99(5). 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Subdiffusive$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2019,\nauthor={Kuśmierz, L. and Gudowska-Nowak, E.},\ntitle={Subdiffusive continuous-time random walks with stochastic resetting},\njournal={Physical Review E},\nyear={2019},\nvolume={99},\nnumber={5},\ndoi={10.1103/PhysRevE.99.052116},\nart_number={052116},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85065869345&doi=10.1103%2fPhysRevE.99.052116&partnerID=40&md5=becd4363c599bda8a2e70067011d5970},\nabstract={We analyze two models of subdiffusion with stochastic resetting. Each of them consists of two parts: subdiffusion based on the continuous-time random walk scheme and independent resetting events generated uniformly in time according to the Poisson point process. In the first model the whole process is reset to the initial state, whereas in the second model only the position is subject to resets. The distinction between these two models arises from the non-Markovian character of the subdiffusive process. We derive exact expressions for the two lowest moments of the full propagator, stationary distributions, and first hitting time statistics. We also show, with an example of a constant drift, how these models can be generalized to include external forces. Possible applications to data analysis and modeling of biological systems are also discussed. © 2019 American Physical Society.},\nkeywords={Biological systems;  Continuous time systems;  Random processes;  Stochastic systems, Analysis and modeling;  Continuous time random walks;  External force;  First hitting time;  Non-Markovian;  Poisson point process;  Stationary distribution;  Whole process, Stochastic models, article;  biology;  data analysis;  statistics;  stochastic model},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Entropy production and collective phenomena in biological channel gating.\n \n \n \n \n\n\n \n Lisowski, B.; Zabicki, M.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica B, 50(5): 911-928. 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Entropy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Lisowski2019911,\nauthor={Lisowski, B. and Zabicki, M. and Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Entropy production and collective phenomena in biological channel gating},\njournal={Acta Physica Polonica B},\nyear={2019},\nvolume={50},\nnumber={5},\npages={911-928},\ndoi={10.5506/APhysPolB.50.911},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85067963077&doi=10.5506%2fAPhysPolB.50.911&partnerID=40&md5=295b188d0f29305e8155553171a15d4d},\nabstract={We investigate gating kinetics of biological channels influenced by conformational changes within the membrane proteins forming the module, and subject to a coupling with other similar units. By introducing elements of stochastic thermodynamics, we analyze the information flow and associated entropy production during gating cycle of a single channel. In the second part of this paper, synchronized kinetics of multiple units of that type is analyzed in terms of Kuramoto's theory. © 2019 Jagellonian University. All rights reserved.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P. F.\n\n\n \n\n\n\n Scientific Reports, 9(1): 19661-19682. 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Effective$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@Article{Majka2019,\nauthor={Majka, M.\nand Góra, P. F.},\ntitle={Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics},\njournal={Scientific Reports},\nyear={2019},\nvolume={9},\nnumber={1},\npages={19661-19682},\nabstract={Spatially correlated noise (SCN), i.e. the thermal noise that affects neighbouring particles in a similar manner, is ubiquitous in soft matter systems. In this work, we apply the over-damped SCN-driven Langevin equations as an effective, one-component model of the dynamics in dense binary mixtures. We derive the thermodynamically consistent fluctuation-dissipation relation for SCN to show that it predicts the molecular arrest resembling the glass transition, i.e. the critical slow-down of dynamics in the disordered phases. We show that the mechanism of singular dissipation is embedded in the dissipation matrix, accompanying SCN. We are also able to identify the characteristic length of collective dissipation, which diverges at critical packing. This novel physical quantity conveniently describes the difference between the ergodic and non-ergodic dynamics. The model is fully analytically solvable, one-dimensional and admits arbitrary interactions between the particles. It qualitatively reproduces several different modes of arrested disorder encountered in binary mixtures, including e.g. the re-entrant arrest. The model can be effectively compared to the mode coupling theory.},\ndoi={10.1038/s41598-019-54321-9},\nurl={https://doi.org/10.1038/s41598-019-54321-9}\n}\n\n

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\n \n\n \n \n \n \n \n Stationary states for underdamped anharmonic oscillators driven by Cauchy noise.\n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(9): 093113. 2019.\n \n\n\n\n
\n\n\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{CapalaChaos2019,\nauthor = {Capała, K. and Dybiec, B.},\ntitle = {Stationary states for underdamped anharmonic oscillators driven by Cauchy noise},\njournal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},\nvolume = {29},\nnumber = {9},\npages = {093113},\nyear = {2019},\ndoi = {10.1063/1.5111637}\n}\n\n\n

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\n \n\n \n \n \n \n \n \n First-passage properties of asymmetric Lévy flights.\n \n \n \n \n\n\n \n Padash, A.; Chechkin, A. V.; Dybiec, B.; Pavlyukevich, I.; Shokri, B.; and Metzler, R.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 52(45): 454004. 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"First-passage$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@article{Padash2019JPhysA,\ndoi = {10.1088/1751-8121/ab493e},\nurl = {https://doi.org/10.1088/2F1751-8121/2Fab493e},\nyear = {2019},\nvolume = {52},\nnumber = {45},\npages = {454004},\nauthor = {Padash, A. and Chechkin, A. V. and Dybiec, B. and Pavlyukevich, I. and Shokri, B. and Metzler, R.},\ntitle = {First-passage properties of asymmetric L{\\'{e}}vy flights},\njournal = {Journal of Physics A: Mathematical and Theoretical},\nabstract = {Lévy flights are paradigmatic generalised random walk processes, in which the independent stationary increments—the ‘jump lengths’—are drawn from an -stable jump length distribution with long-tailed, power-law asymptote. As a result, the variance of Lévy flights diverges and the trajectory is characterised by occasional extremely long jumps. Such long jumps significantly decrease the probability to revisit previous points of visitation, rendering Lévy flights efficient search processes in one and two dimensions. To further quantify their precise property as random search strategies we here study the first-passage time properties of Lévy flights in one-dimensional semi-infinite and bounded domains for symmetric and asymmetric jump length distributions. To obtain the full probability density function of first-passage times for these cases we employ two complementary methods. One approach is based on the space-fractional diffusion equation for the probability density function, from which the survival probability is obtained for different values of the stable index  and the skewness (asymmetry) parameter . The other approach is based on the stochastic Langevin equation with -stable driving noise. Both methods have their advantages and disadvantages for explicit calculations and numerical evaluation, and the complementary approach involving both methods will be profitable for concrete applications. We also make use of the Skorokhod theorem for processes with independent increments and demonstrate that the numerical results are in good agreement with the analytical expressions for the probability density function of the first-passage times.}\n}\n\n

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\n \n\n \n \n \n \n \n \n Multimodal stationary states under Cauchy noise.\n \n \n \n \n\n\n \n Cieśla, M.; Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E, 99(5): 052118-052128. 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Multimodal$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla2019,\nauthor={Cieśla, M. and Capała, K. and Dybiec, B.},\ntitle={Multimodal stationary states under Cauchy noise},\njournal={Physical Review E},\nyear={2019},\nvolume={99},\nnumber={5},\ndoi={10.1103/PhysRevE.99.052118},\npages={052118-052128},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85065890472&doi=10.1103%2fPhysRevE.99.052118&partnerID=40&md5=d633d274dfb2e39d3d9dfd22d0fa3519},\nabstract={A Lévy noise is an efficient description of out-of-equilibrium systems. The presence of Lévy flights results in a plenitude of noise-induced phenomena. Among others, Lévy flights can produce stationary states with more than one modal value in single-well potentials. Here we explore stationary states in special double-well potentials demonstrating that a sufficiently high potential barrier separating potential wells can produce bimodal stationary states in each potential well. Furthermore, we explore how the decrease in the barrier height affects the multimodality of stationary states. Finally, we explore the role of multimodality of stationary states on noise-induced escape over the static potential barrier. © 2019 American Physical Society.},\nkeywords={Barrier heights;  Double-well potential;  Noise-induced escape;  Noise-induced phenomena;  Out-of-equilibrium systems;  Potential barriers;  Potential wells;  Stationary state, article;  height;  noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Entropy production and collective phenomena in biological channel gating.\n \n \n \n \n\n\n \n Lisowski, B.; Zabicki, M.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica B, 50(5): 911-928. 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Entropy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Lisowski2019911,\nauthor={Lisowski, B. and Zabicki, M. and Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Entropy production and collective phenomena in biological channel gating},\njournal={Acta Physica Polonica B},\nyear={2019},\nvolume={50},\nnumber={5},\npages={911-928},\ndoi={10.5506/APhysPolB.50.911},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85067963077&doi=10.5506%2fAPhysPolB.50.911&partnerID=40&md5=295b188d0f29305e8155553171a15d4d},\nabstract={We investigate gating kinetics of biological channels influenced by conformational changes within the membrane proteins forming the module, and subject to a coupling with other similar units. By introducing elements of stochastic thermodynamics, we analyze the information flow and associated entropy production during gating cycle of a single channel. In the second part of this paper, synchronized kinetics of multiple units of that type is analyzed in terms of Kuramoto's theory. © 2019 Jagellonian University. All rights reserved.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Multimodal stationary states in symmetric single-well potentials driven by Cauchy noise.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2019(3). 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Multimodal$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Capala2019,\nauthor={Capała, K. and Dybiec, B.},\ntitle={Multimodal stationary states in symmetric single-well potentials driven by Cauchy noise},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2019},\nvolume={2019},\nnumber={3},\ndoi={10.1088/1742-5468/ab054c},\nart_number={033206},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85065672867&doi=10.1088%2f1742-5468%2fab054c&partnerID=40&md5=5937c213f8ca621043fd8a40dac4b51a},\nabstract={Stationary states for a particle moving in a single-well, steeper than parabolic, potential driven by Lévy noise can be bimodal. Here, we explore in details conditions that are required in order to induce multimodal stationary states having more than two modal values. Phenomenological arguments determining necessary conditions for emergence of stationary states of higher multimodality are provided. Basing on these arguments, appropriate symmetric single-well potentials are constructed. Finally, using numerical methods it is verified that stationary states have anticipated multimodality. © 2019 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={Brownian motion;  numerical simulations;  stationary states;  stochastic particle dynamics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Energetics of single-well undamped stochastic oscillators.\n \n \n \n \n\n\n \n Mandrysz, M.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E, 99(1). 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Energetics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Mandrysz2019,\nauthor={Mandrysz, M. and Dybiec, B.},\ntitle={Energetics of single-well undamped stochastic oscillators},\njournal={Physical Review E},\nyear={2019},\nvolume={99},\nnumber={1},\ndoi={10.1103/PhysRevE.99.012125},\nart_number={012125},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85060163059&doi=10.1103%2fPhysRevE.99.012125&partnerID=40&md5=9ddf58ff0afb77c21a299695d51de17c},\nabstract={This paper discusses analytical and numerical results for nonharmonic, undamped, single-well, stochastic oscillators driven by additive noises. It focuses on average kinetic, potential, and total energies together with the corresponding distributions under random drivings, involving Gaussian white, Ornstein-Uhlenbeck, and Markovian dichotomous noises. It demonstrates that insensitivity of the average total energy to the single-well potential type, V(x) x2n, under Gaussian white noise does not extend to other noise types. Nevertheless, in the long-time limit (t→), the average energies grow as power law with exponents dependent on the steepness of the potential n. Another special limit corresponds to n→, i.e., to the infinite rectangular potential well, when the average total energy grows as a power law with the same exponent for all considered noise types. © 2019 American Physical Society.},\nkeywords={Additive noise;  Stochastic systems, Average energy;  Dichotomous noise;  Gaussian white noise;  Numerical results;  Ornstein-Uhlenbeck;  Potential wells;  Stochastic oscillators;  Total energy, White noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Conservative random walks in confining potentials.\n \n \n \n \n\n\n \n Dybiec, B.; Capała, K.; Chechkin, A.; and Metzler, R.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 52(1). 2019.\n \n\n\n\n
\n\n\n\n \n \n $\"Conservative$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2019,\nauthor={Dybiec, B. and Capała, K. and Chechkin, A.V. and Metzler, R.},\ntitle={Conservative random walks in confining potentials},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2019},\nvolume={52},\nnumber={1},\ndoi={10.1088/1751-8121/aaefc2},\nart_number={015001},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85057740049&doi=10.1088%2f1751-8121%2faaefc2&partnerID=40&md5=1bea41a1b635e2fdf3f2a208f77d2923},\nabstract={Lévy walks are continuous time random walks with spatio-temporal coupling of jump lengths and waiting times, often used to model superdiffusive spreading processes such as animals searching for food, tracer motion in weakly chaotic systems, or even the dynamics in quantum systems such as cold atoms. In the simplest version Lévy walks move with a finite speed. Here, we present an extension of the Lévy walk scenario for the case when external force fields influence the motion. The resulting motion is a combination of the response to the deterministic force acting on the particle, changing its velocity according to the principle of total energy conservation, and random velocity reversals governed by the distribution of waiting times. For the fact that the motion stays conservative, that is, on a constant energy surface, our scenario is fundamentally different from thermal motion in the same external potentials. In particular, we present results for the velocity and position distributions for single well potentials of different steepness. The observed dynamics with its continuous velocity changes enriches the theory of Lévy walk processes and will be of use in a variety of systems, for which the particles are externally confined. © 2018 IOP Publishing Ltd.},\nauthor_keywords={conservative random walks;  Lévy flight;  Lévy walk},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2018\n \n \n (5)\n \n \n

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\n \n\n \n \n \n \n \n \n Twist-bend nematic phase in the presence of molecular chirality.\n \n \n \n \n\n\n \n Longa, L.; and Tomczyk, W.\n\n\n \n\n\n\n Liquid Crystals, 45(13-15): 2074-2085. 2018.\n \n\n\n\n
\n\n\n\n \n \n $\"Twist-bend$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa20182074,\nauthor={Longa, L. and Tomczyk, W.},\ntitle={Twist-bend nematic phase in the presence of molecular chirality},\njournal={Liquid Crystals},\nyear={2018},\nvolume={45},\nnumber={13-15},\npages={2074-2085},\ndoi={10.1080/02678292.2018.1499148},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85054075118&doi=10.1080%2f02678292.2018.1499148&partnerID=40&md5=04da61bac53b038df08501a24f4050bc},\nabstract={One of the interesting questions related to bent-shaped materials is how structural chirality of the twist-bend nematic (N TB ) phase can respond to the presence of molecular chirality, with later being introduced through chiral centers incorporated in the molecules or chiral dopants. We study this problem using minimal coupling Landau-de Gennes theory of N TB , supplemented by a term representing intrinsic molecular chirality. Relative stability and properties of cholesteric (N * ), chiral twist-bend nematic with heliconical structure (N TB * ), and other homogeneous phases are studied. Besides nematic, chiral twist-bend nematic and cholesteric phases of vanishing global polarization, we find their polar analogues. In particular, a coupling between molecular chirality, alignment tensor and polarization fields can promote a globally polar and chiral twist-bend nematic (N TBp * ) with period comparable to that of N * . © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.},\nauthor_keywords={cholesteric phase;  flexopolarization;  Landau-de Gennes theory;  molecular chirality;  Twist-bend nematic},\ncorrespondence_address1={Tomczyk, W.; Marian Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian UniversityPoland; email: wojciech.tomczyk@doctoral.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Nematic twist-bend phase in an external field.\n \n \n \n \n\n\n \n Pająk, G.; Longa, L.; and Chrzanowska, A.\n\n\n \n\n\n\n Proceedings of the National Academy of Sciences of the United States of America, 115(44): E10303-E10312. 2018.\n \n\n\n\n
\n\n\n\n \n \n $\"Nematic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n

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@ARTICLE{Pajak2018E10303,\nauthor={Pająk, G. and Longa, L. and Chrzanowska, A.},\ntitle={Nematic twist-bend phase in an external field},\njournal={Proceedings of the National Academy of Sciences of the United States of America},\nyear={2018},\nvolume={115},\nnumber={44},\npages={E10303-E10312},\ndoi={10.1073/pnas.1721786115},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85055633298&doi=10.1073%2fpnas.1721786115&partnerID=40&md5=186bcca2638cec012eb0e9b437d8931b},\nabstract={The response of the nematic twist-bend (NTB) phase to an applied field can provide important insight into the structure of this liquid and may bring us closer to understanding mechanisms generating mirror symmetry breaking in a fluid of achiral molecules. Here we investigate theoretically how an external uniform field can affect structural properties and the stability of NTB. Assuming that the driving force responsible for the formation of this phase is packing entropy, we show, within Landau-de Gennes theory, that NTB can undergo a rich sequence of structural changes with the field. For the systems with positive anisotropy of permittivity, we first observe a decrease of the tilt angle of NTB until it transforms through a field-induced phase transition to the ordinary prolate uniaxial nematic phase (N). Then, at very high fields, this nematic phase develops polarization perpendicular to the field (Np+). For systems with negative anisotropy of permittivity, the results reveal new modulated structures. Even an infinitesimally small field transforms NTB to its elliptical counterpart (NTBe), where the circular base of the cone of the main director becomes elliptic. With stronger fields, the ellipse degenerates to a line, giving rise to a nonchiral periodic structure, the nematic splay- bend (NSB), where the two nematic directors are restricted to a plane. The three structures-NTB, NTBe, and NSB-with a modulated polar order are globally nonpolar. But further increase of the field induces phase transitions into globally polar structures with nonvanishing polarization along the field's direction. We found two such structures, one of which is a polar and chiral modification of NSB, where splay and bend deformations are accompanied by weak twist deformations (N∗ SBp). Further increase of the field unwinds this structure into a polar nematic (Np) of polarization parallel to the field. © 2018 National Academy of Sciences. All rights reserved.},\nauthor_keywords={Chirality;  Nematics;  Polarity;  Splay-bend;  Twist-bend},\nkeywords={anisotropy;  article;  chirality;  entropy;  phase transition;  polarization},\ncorrespondence_address1={Pająk, G.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagiellonian UniversityPoland; email: grzegorz@th.if.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Thermodynamics of superdiffusion generated by Lévy-Wiener fluctuating forces.\n \n \n \n \n\n\n \n Kuśmierz, Ł.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Entropy, 20(9). 2018.\n \n\n\n\n
\n\n\n\n \n \n $\"Thermodynamics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2018,\nauthor={Kuśmierz, Ł. and Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Thermodynamics of superdiffusion generated by Lévy-Wiener fluctuating forces},\njournal={Entropy},\nyear={2018},\nvolume={20},\nnumber={9},\ndoi={10.3390/e20090658},\nart_number={658},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85053691259&doi=10.3390%2fe20090658&partnerID=40&md5=9215c1b53f42b35355d20fcd40f9966a},\nabstract={Scale free Lévy motion is a generalized analogue of the Wiener process. Its time derivative extends the notion of "white noise" to non-Gaussian noise sources, and as such, it has been widely used to model natural signal variations described by an overdamped Langevin stochastic differential equation. Here, we consider the dynamics of an archetypal model: a Brownian-like particle is driven by external forces, and noise is represented by uncorrelated Lévy fluctuations. An unperturbed system of that form eventually attains a steady state which is uniquely determined by the set of parameter values. We show that the analyzed Markov process with the stability index α < 2 violates the detailed balance, i.e., its stationary state is quantified by a stationary probability density and nonvanishing current. We discuss consequences of the non-Gibbsian character of the stationary state of the system and its impact on the general form of the fluctuation-dissipation theorem derived for weak external forcing. © 2018 by the authors.},\nauthor_keywords={Fluctuation phenomena;  Nonequilibrium and irreversible thermodynamics;  Random walks and Lévy flights},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Thermodynamics of superdiffusion generated by Lévy-Wiener fluctuating forces.\n \n \n \n \n\n\n \n Kuśmierz, Ł.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Entropy, 20(9). 2018.\n \n\n\n\n
\n\n\n\n \n \n $\"Thermodynamics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2018,\nauthor={Kuśmierz, Ł. and Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Thermodynamics of superdiffusion generated by Lévy-Wiener fluctuating forces},\njournal={Entropy},\nyear={2018},\nvolume={20},\nnumber={9},\ndoi={10.3390/e20090658},\nart_number={658},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85053691259&doi=10.3390%2fe20090658&partnerID=40&md5=9215c1b53f42b35355d20fcd40f9966a},\nabstract={Scale free Lévy motion is a generalized analogue of the Wiener process. Its time derivative extends the notion of "white noise" to non-Gaussian noise sources, and as such, it has been widely used to model natural signal variations described by an overdamped Langevin stochastic differential equation. Here, we consider the dynamics of an archetypal model: a Brownian-like particle is driven by external forces, and noise is represented by uncorrelated Lévy fluctuations. An unperturbed system of that form eventually attains a steady state which is uniquely determined by the set of parameter values. We show that the analyzed Markov process with the stability index α < 2 violates the detailed balance, i.e., its stationary state is quantified by a stationary probability density and nonvanishing current. We discuss consequences of the non-Gibbsian character of the stationary state of the system and its impact on the general form of the fluctuation-dissipation theorem derived for weak external forcing. © 2018 by the authors.},\nauthor_keywords={Fluctuation phenomena;  Nonequilibrium and irreversible thermodynamics;  Random walks and Lévy flights},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Energetics of the undamped stochastic harmonic oscillator.\n \n \n \n \n\n\n \n Mandrysz, M.; and Dybiec, B.\n\n\n \n\n\n\n Acta Physica Polonica B, 49(5): 871-882. 2018.\n \n\n\n\n
\n\n\n\n \n \n $\"Energetics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Mandrysz2018871,\nauthor={Mandrysz, M. and Dybiec, B.},\ntitle={Energetics of the undamped stochastic harmonic oscillator},\njournal={Acta Physica Polonica B},\nyear={2018},\nvolume={49},\nnumber={5},\npages={871-882},\ndoi={10.5506/APhysPolB.49.871},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85049698480&doi=10.5506%2fAPhysPolB.49.871&partnerID=40&md5=f72dc30c948f0e6fabe880f03c68a66f},\nabstract={The harmonic oscillator is one of fundamental models in physics. In stochastic thermodynamics, such models are usually accompanied with both stochastic and damping forces, acting as energy counter-terms. Here, on the other hand, we study properties of the undamped harmonic oscillator driven by additive noises. Consequently, the popular cases of Gaussian white noise, Markovian dichotomous noise and Ornstein–Uhlenbeck noise are analyzed from the energy point of view employing both analytical and numerical methods. In accordance to one’s expectations, we confirm that energy is pumped into the system. We demonstrate that, as a function of time, initially total energy displays abrupt oscillatory changes, but then transits to the linear dependence in the long-time limit. Kinetic and potential parts of the energy are found to display oscillatory dependence at all times. © 2018 Jagellonian University. All Rights Reserved.},\nkeywords={Additive noise;  Harmonic analysis;  Numerical methods;  Oscillators (mechanical);  Stochastic models;  Thermodynamics;  White noise, Analytical and numerical methods;  Fundamental models;  Gaussian white noise;  Harmonic oscillators;  Linear dependence;  Oscillatory changes;  Oscillatory dependence;  Stochastic thermodynamics, Stochastic systems},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n 2017\n \n \n (11)\n \n \n

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\n \n\n \n \n \n \n \n \n Modulated nematic structures and chiral symmetry breaking in 2D.\n \n \n \n \n\n\n \n Trojanowski, K.; Cieśla, M.; and Longa, L.\n\n\n \n\n\n\n Liquid Crystals, 44(1): 273-283. 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Modulated$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Trojanowski2017273,\nauthor={Trojanowski, K. and Cieśla, M. and Longa, L.},\ntitle={Modulated nematic structures and chiral symmetry breaking in 2D},\njournal={Liquid Crystals},\nyear={2017},\nvolume={44},\nnumber={1},\npages={273-283},\ndoi={10.1080/02678292.2016.1261192},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85000714815&doi=10.1080%2f02678292.2016.1261192&partnerID=40&md5=8e56de05a8ca8b5c8dbafb521e296fba},\nabstract={We have studied the properties of biaxial particles interacting via an anisotropic pair potential, involving second-rank quadrupolar and third-rank octupolar coupling terms, using Monte Carlo simulation. The particles occupy the sites of a 2D square lattice and the interactions are restricted to nearest neighbours. The system exhibits spontaneous chiral symmetry breaking from an isotropic phase to a chiral modulated nematic phase, composed of ambidextrous chiral domains. When twofold axes of quadrupolar and octupolar tensors coincide this modulated phase appears to be the ambidextrous cholesteric phase with pitch comparable to a few lattice spacings. The associated phase transition is first order. © 2016 Informa UK Limited, trading as Taylor & Francis Group.},\nauthor_keywords={chiral symmetry breaking;  cholesteric phase;  Modulated liquid crystal structures;  Monte Carlo simulations;  twist-bend nematic},\ncorrespondence_address1={Cieśla, M.; M. Smoluchowski Institute of Physics, Jagiellonian University, Ƚojasiewicza 11, Poland; email: michal.ciesla@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Structure formation in monolayers composed of hard bent-core molecules.\n \n \n \n \n\n\n \n Karbowniczek, P.; Cieśla, M.; Longa, L.; and Chrzanowska, A.\n\n\n \n\n\n\n Liquid Crystals, 44(1): 254-272. 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Structure$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Karbowniczek2017254,\nauthor={Karbowniczek, P. and Cieśla, M. and Longa, L. and Chrzanowska, A.},\ntitle={Structure formation in monolayers composed of hard bent-core molecules},\njournal={Liquid Crystals},\nyear={2017},\nvolume={44},\nnumber={1},\npages={254-272},\ndoi={10.1080/02678292.2016.1259510},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85002410240&doi=10.1080%2f02678292.2016.1259510&partnerID=40&md5=0abb54b9f4a38b2042db353dda66526d},\nabstract={We investigate the role of excluded volume interactions instabilising different structures in monolayers filled with bent-shaped molecules using the Onsager type of density functional theory supplemented by constant-pressure Monte-Carlo simulations. We study influence of molecular features, like the apex angle, thickness of the arm and the type of the arm edges on the stability of layered structures. For simple molecular shapes taken the observed phases are dominated by the lamellar antiferroelectric type as observed experimentally, but a considerable sensitivity of the ordering to details of the molecular shape is found for order parameters and wave vectors of the structures. Interestingly, for large opening angles and not too thick molecules, a window of stable nematic splay-bend phase is shown to exist. © 2016 Informa UK Limited, trading as Taylor \\& Francis Group.},\nauthor_keywords={DFT of liquid crystals;  MC simulations;  nematic splay-bend;  perfect order approximation;  smectics},\ncorrespondence_address1={Cieśla, M.; Marian Smoluchowski Institute of Physics, Department of Statistical Physics and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. Łojasiewicza 11, Poland; email: michal.ciesla@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Underdamped stochastic harmonic oscillator driven by Lévy noise.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Sokolov, I.\n\n\n \n\n\n\n Physical Review E, 96(4). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Underdamped$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20170,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Sokolov, I.M.},\ntitle={Underdamped stochastic harmonic oscillator driven by Lévy noise},\njournal={Physical Review E},\nyear={2017},\nvolume={96},\nnumber={4},\ndoi={10.1103/PhysRevE.96.042118},\nart_number={042118},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85030978576&doi=10.1103%2fPhysRevE.96.042118&partnerID=40&md5=e7e706522295b81fa2a7acb725977173},\nabstract={We investigate the distribution of potential and kinetic energy in stationary states of the linearly damped stochastic oscillator driven by Lévy noises. In the long time limit distributions of kinetic and potential energies of the oscillator follow the power-law asymptotics and do not fulfill the equipartition theorem. The partition of the mechanical energy is controlled by the damping coefficient. In the limit of vanishing damping a stochastic analog of the equipartition theorem can be proposed, namely, the statistical properties of potential and kinetic energies attain distributions characterized by the same widths. For larger damping coefficient the larger fraction of energy is stored in its potential form. In the limit of very strong damping the contribution of kinetic energy becomes negligible. Finally, we demonstrate that the ratio of instantaneous kinetic and potential energies, which signifies departure from the mechanical energy equipartition, follows universal power-law asymptotics, regardless of the symmetric α-stable noise parameters. Altogether our investigations clearly indicate strongly nonequilibrium character of Lévy-stable fluctuations with the stability index α<2. © 2017 American Physical Society.},\nkeywords={Damping;  Kinetic energy;  Kinetics;  Potential energy;  Solid state oscillators, Damping coefficients;  Harmonic oscillators;  Limit distribution;  Mechanical energies;  Non-equilibrium characters;  Statistical properties;  Stochastic oscillators;  Universal power law, Stochastic systems},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy flights versus Lévy walks in bounded domains.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; Barkai, E.; and Dubkov, A.\n\n\n \n\n\n\n Physical Review E, 95(5). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20171,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Barkai, E. and Dubkov, A.A.},\ntitle={Lévy flights versus Lévy walks in bounded domains},\njournal={Physical Review E},\nyear={2017},\nvolume={95},\nnumber={5},\ndoi={10.1103/PhysRevE.95.052102},\nart_number={052102},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85019033823&doi=10.1103%2fPhysRevE.95.052102&partnerID=40&md5=1b4dd7745f56975eb6a725662877e14f},\nabstract={Lévy flights and Lévy walks serve as two paradigms of random walks resembling common features but also bearing fundamental differences. One of the main dissimilarities is the discontinuity versus continuity of their trajectories and infinite versus finite propagation velocity. As a consequence, a well-developed theory of Lévy flights is associated with their pathological physical properties, which in turn are resolved by the concept of Lévy walks. Here, we explore Lévy flight and Lévy walk models on bounded domains, examining their differences and analogies. We investigate analytically and numerically whether and under which conditions both approaches yield similar results in terms of selected statistical observables characterizing the motion: the survival probability, mean first passage time, and stationary probability density functions. It is demonstrated that the similarity of the models is affected by the type of boundary conditions and the value of the stability index defining the asymptotics of the jump length distribution. © 2017 American Physical Society.},\nkeywords={Bounded domain;  Common features;  Finite propagation;  Mean first passage time;  Random Walk;  Stability indices;  Stationary probability density function;  Survival probabilities, Probability density function},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Optimal potentials for diffusive search strategies.\n \n \n \n \n\n\n \n Kuśmierz, Ł.; Bier, M.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 50(18). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Optimal$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2017,\nauthor={Kuśmierz, Ł. and Bier, M. and Gudowska-Nowak, E.},\ntitle={Optimal potentials for diffusive search strategies},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2017},\nvolume={50},\nnumber={18},\ndoi={10.1088/1751-8121/aa6769},\nart_number={185003},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85017564967&doi=10.1088%2f1751-8121%2faa6769&partnerID=40&md5=ad2f18b3ef50f8c98ff0bdb9687b09c3},\nabstract={We consider one dimensional diffusive search strategies subjected to external potentials. The location of a single target is drawn from a given probability density function (PDF) fG (x) and is fixed for each stochastic realization of the process. We optimize the quality of the search strategy as measured by the mean first passage time (MFPT) to the position of the target. For a symmetric but otherwise arbitrary distribution fG(x) we find the optimal potential that minimizes the MFPT. The minimal MFPT is given by a nonstandard measure of the dispersion, which can be related to the cumulative Rényi entropy. We compare optimal times in this model with optimal times obtained for the model of diffusion with stochastic resetting, in which the diffusive motion is interrupted by intermittent jumps (resets) to the initial position. Additionally, we discuss an analogy between our results and a so-called square-root principle. © 2017 IOP Publishing Ltd.},\nauthor_keywords={diffusion in potential;  optimal potential;  optimal search;  random search;  random walk;  search strategies;  stochastic control},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Preface: Marian Smoluchowski's 1916 paper - A century of inspiration.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Lindenberg, K.; and Metzler, R.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 50(38). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Preface:$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak2017,\nauthor={Gudowska-Nowak, E. and Lindenberg, K. and Metzler, R.},\ntitle={Preface: Marian Smoluchowski's 1916 paper - A century of inspiration},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2017},\nvolume={50},\nnumber={38},\ndoi={10.1088/1751-8121/aa8529},\nart_number={380301},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85028771548&doi=10.1088%2f1751-8121%2faa8529&partnerID=40&md5=adc922e0e57124d8c07e7b62bec60004},\ndocument_type={Review},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Collectivity in diffusion of colloidal particles: From effective interactions to spatially correlated noise.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 50(5). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Collectivity$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Majka2017,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Collectivity in diffusion of colloidal particles: From effective interactions to spatially correlated noise},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2017},\nvolume={50},\nnumber={5},\ndoi={10.1088/1751-8121/50/5/054004},\nart_number={054004},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85010069418&doi=10.1088%2f1751-8121%2f50%2f5%2f054004&partnerID=40&md5=3e98424752fc7f924c051f0a7b070072},\nabstract={The collectivity in the simultaneous diffusion of many particles, i.e. the interdependence of stochastic forces affecting different particles in the same solution, is a largely overlooked phenomenon with no well-established theory. Recently, we have proposed a novel type of thermodynamically consistent Langevin dynamics driven by spatially correlated noise (SCN) that can contribute to the understanding of this problem. This model draws a link between the theory of effective interactions in binary colloidal mixtures and the properties of SCN. In the current article, we review this model from the perspective of collective diffusion and generalize it to the case of multiple (N > 2) particles. Since our theory of SCN-driven Langevin dynamics has certain issues that could not be resolved within this framework, in this article we also provide another approach to the problem of collectivity. We discuss the multi-particle Mori-Zwanzig model, which is fully microscopically consistent. Indeed, we show that this model supplies a lot of information, complementary to the SCN-based approach, e.g. it predicts the deterministic dynamics of the relative distance between the particles, it provides an approximation for non-equilibrium effective interactions and predicts the collective sub-diffusion of tracers in the group. These results provide the short-range, inertial limit of the earlier model and agree with its predictions under some general conditions. In this article we also review the origin of SCN and its consequences for a variety of physical systems, with emphasis on the colloids. © 2017 IOP Publishing Ltd.},\nauthor_keywords={collective diffusion;  colloids;  effective interactions;  generalized Langevin equation;  spatially correlated noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Underdamped stochastic harmonic oscillator driven by Lévy noise.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Sokolov, I.\n\n\n \n\n\n\n Physical Review E, 96(4). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Underdamped$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20170,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Sokolov, I.M.},\ntitle={Underdamped stochastic harmonic oscillator driven by Lévy noise},\njournal={Physical Review E},\nyear={2017},\nvolume={96},\nnumber={4},\ndoi={10.1103/PhysRevE.96.042118},\nart_number={042118},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85030978576&doi=10.1103%2fPhysRevE.96.042118&partnerID=40&md5=e7e706522295b81fa2a7acb725977173},\nabstract={We investigate the distribution of potential and kinetic energy in stationary states of the linearly damped stochastic oscillator driven by Lévy noises. In the long time limit distributions of kinetic and potential energies of the oscillator follow the power-law asymptotics and do not fulfill the equipartition theorem. The partition of the mechanical energy is controlled by the damping coefficient. In the limit of vanishing damping a stochastic analog of the equipartition theorem can be proposed, namely, the statistical properties of potential and kinetic energies attain distributions characterized by the same widths. For larger damping coefficient the larger fraction of energy is stored in its potential form. In the limit of very strong damping the contribution of kinetic energy becomes negligible. Finally, we demonstrate that the ratio of instantaneous kinetic and potential energies, which signifies departure from the mechanical energy equipartition, follows universal power-law asymptotics, regardless of the symmetric α-stable noise parameters. Altogether our investigations clearly indicate strongly nonequilibrium character of Lévy-stable fluctuations with the stability index α<2. © 2017 American Physical Society.},\nkeywords={Damping;  Kinetic energy;  Kinetics;  Potential energy;  Solid state oscillators, Damping coefficients;  Harmonic oscillators;  Limit distribution;  Mechanical energies;  Non-equilibrium characters;  Statistical properties;  Stochastic oscillators;  Universal power law, Stochastic systems},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy flights versus Lévy walks in bounded domains.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; Barkai, E.; and Dubkov, A.\n\n\n \n\n\n\n Physical Review E, 95(5). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20171,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Barkai, E. and Dubkov, A.A.},\ntitle={Lévy flights versus Lévy walks in bounded domains},\njournal={Physical Review E},\nyear={2017},\nvolume={95},\nnumber={5},\ndoi={10.1103/PhysRevE.95.052102},\nart_number={052102},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85019033823&doi=10.1103%2fPhysRevE.95.052102&partnerID=40&md5=1b4dd7745f56975eb6a725662877e14f},\nabstract={Lévy flights and Lévy walks serve as two paradigms of random walks resembling common features but also bearing fundamental differences. One of the main dissimilarities is the discontinuity versus continuity of their trajectories and infinite versus finite propagation velocity. As a consequence, a well-developed theory of Lévy flights is associated with their pathological physical properties, which in turn are resolved by the concept of Lévy walks. Here, we explore Lévy flight and Lévy walk models on bounded domains, examining their differences and analogies. We investigate analytically and numerically whether and under which conditions both approaches yield similar results in terms of selected statistical observables characterizing the motion: the survival probability, mean first passage time, and stationary probability density functions. It is demonstrated that the similarity of the models is affected by the type of boundary conditions and the value of the stability index defining the asymptotics of the jump length distribution. © 2017 American Physical Society.},\nkeywords={Bounded domain;  Common features;  Finite propagation;  Mean first passage time;  Random Walk;  Stability indices;  Stationary probability density function;  Survival probabilities, Probability density function},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Epidemics spread in heterogeneous populations.\n \n \n \n \n\n\n \n Capała, K.; and Dybiec, B.\n\n\n \n\n\n\n European Physical Journal B, 90(5). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Epidemics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Capala2017,\nauthor={Capała, K. and Dybiec, B.},\ntitle={Epidemics spread in heterogeneous populations},\njournal={European Physical Journal B},\nyear={2017},\nvolume={90},\nnumber={5},\ndoi={10.1140/epjb/e2017-70723-6},\nart_number={85},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85018961707&doi=10.1140%2fepjb%2fe2017-70723-6&partnerID=40&md5=760a823417c9749b8d1dc181f8912f07},\nabstract={Individuals building populations are subject to variability. This variability affects progress of epidemic outbreaks, because individuals tend to be more or less resistant. Individuals also differ with respect to their recovery rate. Here, properties of the SIR model in inhomogeneous populations are studied. It is shown that a small change in model’s parameters, e.g. recovery or infection rate, can substantially change properties of final states which is especially well-visible in distributions of the epidemic size. In addition to the epidemic size and radii distributions, the paper explores first passage time properties of epidemic outbreaks. © 2017, The Author(s).},\nauthor_keywords={Computational Methods},\nkeywords={Computational methods;  Scattering parameters, Building population;  Final state;  First passage time;  Heterogeneous populations;  Infection rates;  Radii distribution;  Recovery rate;  SIR model, Epidemiology},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Fighting for resources: Two leaders in the money addicted social hierarchies.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n International Journal of Modern Physics C, 28(1). 2017.\n \n\n\n\n
\n\n\n\n \n \n $\"Fighting$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20172,\nauthor={Dybiec, B.},\ntitle={Fighting for resources: Two leaders in the money addicted social hierarchies},\njournal={International Journal of Modern Physics C},\nyear={2017},\nvolume={28},\nnumber={1},\ndoi={10.1142/S0129183117500103},\nart_number={1750010},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84986569450&doi=10.1142%2fS0129183117500103&partnerID=40&md5=9b0eb5b4717d3ef60d29627a0dd34b2f},\nabstract={Building of hierarchy is inevitably associated with the constant competition for resources and attention. Here, we show how presence of two favored (leading) nodes affects properties of the network connecting individuals. In particular, we study how nodes characteristics depend on relative asymmetry between two leading nodes. It is shown that without strong and rigorous avoidance mechanism, individuals can support both dominating nodes. Slow redistribution of resources enhances this effect. Moreover, slow redistribution of resources results in development of social networks with a very limited number of layers. © 2017 World Scientific Publishing Company.},\nauthor_keywords={complex networks;  hierarchy development;  hierarchy maintenance;  Social dynamics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Modulated nematic structures induced by chirality and steric polarization.\n \n \n \n \n\n\n \n Longa, L.; and Pająk, G.\n\n\n \n\n\n\n Physical Review E, 93(4). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Modulated$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa2016,\nauthor={Longa, L. and Pająk, G.},\ntitle={Modulated nematic structures induced by chirality and steric polarization},\njournal={Physical Review E},\nyear={2016},\nvolume={93},\nnumber={4},\ndoi={10.1103/PhysRevE.93.040701},\nart_number={040701},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84964453017&doi=10.1103%2fPhysRevE.93.040701&partnerID=40&md5=e45340b57e9105a6dc28975634d003b4},\nabstract={What kind of one-dimensional modulated nematic structures (ODMNS) can form nonchiral and chiral bent-core and dimeric materials? Here, using the Landau-de Gennes theory of nematics, extended to account for molecular steric polarization, we study a possibility of formation of ODMNS, both in nonchiral and intrinsically chiral liquid crystalline materials. Besides nematic and cholesteric phases, we find four bulk ODMNS for nonchiral materials, two of which, to the best of our knowledge, have not been reported so far. These two structures are longitudinal (NLP) and transverse (NTP) periodic waves where the polarization field being periodic in one dimension stays parallel and perpendicular, respectively, to the wave vector. The other two phases are the twist-bend nematic phase (NTB) and the splay-bend nematic phase (NSB), but their fine structure appears more complex than that considered so far. The presence of molecular chirality converts nonchiral NTP and NSB into new NTB phases. Surprisingly, the nonchiral NLP phase can stay stable even in the presence of intrinsic chirality. © 2016 American Physical Society.},\nkeywords={Chirality;  Crystalline materials;  Natural language processing systems;  Polarization, Cholesteric phasis;  Fine structures;  Landau-de Gennes theory;  Liquid crystalline materials;  Molecular chirality;  Nematic structures;  Nonchiral materials;  Polarization field, Periodic structures},\ncorrespondence_address1={Longa, L.; Marian Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, Poland; email: lech.longa@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Twist-bend nematic phases of bent-shaped biaxial molecules.\n \n \n \n \n\n\n \n Tomczyk, W.; Pająk, G.; and Longa, L.\n\n\n \n\n\n\n Soft Matter, 12(36): 7445-7452. 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Twist-bend$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Tomczyk20167445,\nauthor={Tomczyk, W. and Pająk, G. and Longa, L.},\ntitle={Twist-bend nematic phases of bent-shaped biaxial molecules},\njournal={Soft Matter},\nyear={2016},\nvolume={12},\nnumber={36},\npages={7445-7452},\ndoi={10.1039/c6sm01197g},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84988023708&doi=10.1039%2fc6sm01197g&partnerID=40&md5=c9e28ac66a19f3a85bafbf913d006970},\nabstract={How can a change in molecular structure affect the relative stability and structural properties of the twist-bend nematic phase (NTB)? Here we extend the mean-field model1 (C. Greco, G. R. Luckhurst and A. Ferrarini, Soft Matter, 2014, 10, 9318) for bent-shaped achiral molecules, to study the influence of arm molecular biaxiality and the value of the molecule's bend angle on the relative stability of NTB. In particular we show that by controlling the biaxiality of the molecule's arms, up to four ordered phases can become stable. They involve local uniaxial and biaxial variants of NTB, together with uniaxial and biaxial nematic phases. However, a V-shaped molecule shows a stronger ability to form stable NTB than a biaxial nematic phase, where the latter phase appears in the phase diagram only for bend angles greater than 140° and for large biaxiality of the two arms. © 2016 The Royal Society of Chemistry.},\nkeywords={Mean field theory;  Structural properties, Achiral molecule;  Biaxial nematic phase;  Biaxial nematic phasis;  Mean field modeling;  Molecular biaxiality;  Nematic phasis;  Relative stabilities;  V-shaped molecules, Molecules},\ncorrespondence_address1={Tomczyk, W.; Marian Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, prof. S. Łojasiewicza 11, Poland; email: wojciech.tomczyk@doctoral.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n To hit or to pass it over - Remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Chechkin, A.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 49(50). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"To$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2016,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Chechkin, A.},\ntitle={To hit or to pass it over - Remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2016},\nvolume={49},\nnumber={50},\ndoi={10.1088/1751-8113/49/50/504001},\nart_number={504001},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84999663727&doi=10.1088%2f1751-8113%2f49%2f50%2f504001&partnerID=40&md5=bb8002290aba0827088f22ddeb9c5e2b},\nabstract={The term 'Lévy flights' was coined by Benoit Mandelbrot, who thus poeticized α-stable Lévy random motion, a Markovian process with stationary independent increments distributed according to the α-stable Lévy probability law. Contrary to the Brownian motion, the trajectories of the α-stable Lévy motion are discontinous, that is exhibit jumps. This feature implies that the process of first passage through the boundary of a given space domain, or the first escape, is different from the process of first arrival (hit) at the boundary. Here we investigate the properties of first escapes and first arrivals for Lévy flights and explore how the asymptotic behavior of the corresponding (passage and hit) probabilities is sensitive to the size of the domain. In particular, we find that the survival probability to stay in a large enough, finite domain has a universal Sparre Andersen temporal scaling , which is transient and changes to an exponential non-universal decay at longer times. Also, the probability to arrive at a finite domain possesses a similar transient Sparre Andersen universality that turns into a non-universal and slower power-law decay in course of time. Finally, we demonstrate that the probability density of the leapover length ℓ over the boundary, related to overshooting events, has an intermediate asymptotics () which is inherent for the escape from a semi-infinite domain. However, for larger leapovers the probability density decays faster according to the law. Thus, we find that the laws derived for the α-stable processes on the semi-infinite domain, manifest themselves as transients for Lévy flights on the finite domain. © 2016 IOP Publishing Ltd.},\nauthor_keywords={first arrival;  first escape;  leapovers;  Lévy flights},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Breaking microscopic reversibility with Lévy flights.\n \n \n \n \n\n\n \n Kuśmierz, Ł.; Chechkin, A.; Gudowska-Nowak, E.; and Bier, M.\n\n\n \n\n\n\n EPL, 114(6). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Breaking$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2016,\nauthor={Kuśmierz, Ł. and Chechkin, A. and Gudowska-Nowak, E. and Bier, M.},\ntitle={Breaking microscopic reversibility with Lévy flights},\njournal={EPL},\nyear={2016},\nvolume={114},\nnumber={6},\ndoi={10.1209/0295-5075/114/60009},\nart_number={60009},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84980373432&doi=10.1209%2f0295-5075%2f114%2f60009&partnerID=40&md5=a08f52fecbb8138d6f2d126a6e060c19},\nabstract={A system at equilibrium exhibits microscopic reversibility, i.e. any path in phase space is just as often traversed in one direction as that it is traversed in the opposite direction. We show how it is justified to characterize white Gaussian noise as equilibrium noise: when an overdamped particle in a potential is subjected to such noise, microscopic reversibility can be proven for most-probable-paths that lead from one potential well to another. However, when the overdamped particle is subjected to white Lévy noise, time-reversal symmetry is broken and microscopic reversibility is violated, even when the noise is symmetric. We, furthermore, derive how for an overdamped particle inside a parabolic potential microscopic reversibility is violated in the presence of Lévy white noise. Similar to Brownian vortexes, Lévy flights can be associated with the presence of Lévy vortexes in phase space. © CopyrightEPLA, 2016.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Seeking a fingerprint: Analysis of point processes in actigraphy recording.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Ochab, J.; Oleś, K.; Beldzik, E.; Chialvo, D.; Domagalik, A.; F ąfrowicz, M.; Marek, T.; Nowak, M.; Ogińska, H.; Szwed, J.; and Tyburczyk, J.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2016(5). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Seeking$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak2016,\nauthor={Gudowska-Nowak, E. and Ochab, J.K. and Oleś, K. and Beldzik, E. and Chialvo, D.R. and Domagalik, A. and F ąfrowicz, M. and Marek, T. and Nowak, M.A. and Ogińska, H. and Szwed, J. and Tyburczyk, J.},\ntitle={Seeking a fingerprint: Analysis of point processes in actigraphy recording},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2016},\nvolume={2016},\nnumber={5},\ndoi={10.1088/1742-5468/2016/05/054034},\nart_number={054034},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84970003909&doi=10.1088%2f1742-5468%2f2016%2f05%2f054034&partnerID=40&md5=f36a962972c82fb50eb66c7572c14958},\nabstract={Motor activity of humans displays complex temporal fluctuations which can be characterised by scale-invariant statistics, thus demonstrating that structure and fluctuations of such kinetics remain similar over a broad range of time scales. Previous studies on humans regularly deprived of sleep or suffering from sleep disorders predicted a change in the invariant scale parameters with respect to those for healthy subjects. In this study we investigate the signal patterns from actigraphy recordings by means of characteristic measures of fractional point processes. We analyse spontaneous locomotor activity of healthy individuals recorded during a week of regular sleep and a week of chronic partial sleep deprivation. Behavioural symptoms of lack of sleep can be evaluated by analysing statistics of duration times during active and resting states, and alteration of behavioural organisation can be assessed by analysis of power laws detected in the event count distribution, distribution of waiting times between consecutive movements and detrended fluctuation analysis of recorded time series. We claim that among different measures characterising complexity of the actigraphy recordings and their variations implied by chronic sleep distress, the exponents characterising slopes of survival functions in resting states are the most effective biomarkers distinguishing between healthy and sleep-deprived groups. © 2016 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={fluctuations (theory);  self-organised criticality (theory);  signal transduction (theory);  stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Phase transitions and entropies for synchronizing oscillators.\n \n \n \n \n\n\n \n Bier, M.; Lisowski, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E, 93(1). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Phase$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Bier2016,\nauthor={Bier, M. and Lisowski, B. and Gudowska-Nowak, E.},\ntitle={Phase transitions and entropies for synchronizing oscillators},\njournal={Physical Review E},\nyear={2016},\nvolume={93},\nnumber={1},\ndoi={10.1103/PhysRevE.93.012143},\nart_number={012143},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84955560474&doi=10.1103%2fPhysRevE.93.012143&partnerID=40&md5=8919d0f33163bf0b1293a1d6ed56aca1},\nabstract={We study a generic model of coupled oscillators. In the model there is competition between phase synchronization and diffusive effects. For a model with a finite number of states we derive how a phase transition occurs when the coupling parameter is varied. The phase transition is characterized by a symmetry breaking and a discontinuity in the first derivative of the order parameter. We quantitatively account for how the synchronized pulse is a low-entropy structure that facilitates the production of more entropy by the system as a whole. For a model with many states we apply a continuum approximation and derive a potential Burgers' equation for a propagating pulse. No phase transition occurs in that case. However, positive entropy production by diffusive effects still exceeds negative entropy production by the shock formation. © 2016 American Physical Society.},\nkeywords={Entropy, Burgers' equations;  Continuum approximation;  Coupled oscillators;  Coupling parameters;  Entropy production;  Negative entropies;  Phase synchronization;  Synchronized pulse, Synchronization, diffusion;  entropy;  phase transition;  theoretical model, Diffusion;  Entropy;  Models, Theoretical;  Phase Transition},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Thermodynamically consistent Langevin dynamics with spatially correlated noise predicting frictionless regime and transient attraction effect.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Physical Review E, 94(4). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Thermodynamically$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Majka2016,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Thermodynamically consistent Langevin dynamics with spatially correlated noise predicting frictionless regime and transient attraction effect},\njournal={Physical Review E},\nyear={2016},\nvolume={94},\nnumber={4},\ndoi={10.1103/PhysRevE.94.042110},\nart_number={042110},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84991672067&doi=10.1103%2fPhysRevE.94.042110&partnerID=40&md5=cc2d2858cbb39177da3a69fe06b49bd1},\nabstract={While the origins of temporal correlations in Langevin dynamics have been thoroughly researched, the understanding of spatially correlated noise (SCN) is rather incomplete. In particular, very little is known about the relation between friction and SCN. In this article, starting from the microscopic, deterministic model, we derive the analytical formula for the spatial correlation function in the particle-bath interactions. This expression shows that SCN is the inherent component of binary mixtures, originating from the effective (entropic) interactions. Further, employing this spatial correlation function, we postulate the thermodynamically consistent Langevin equation driven by the Gaussian SCN and calculate the adequate fluctuation-dissipation relation. The thermodynamical consistency is achieved by introducing the spatially variant friction coefficient, which can be also derived analytically. This coefficient exhibits a number of intriguing properties, e.g., the singular behavior for certain types of interactions. Eventually, we apply this new theory to the system of two charged particles in the presence of counter-ions. Such particles interact via the screened-charge Yukawa potential and the inclusion of SCN leads to the emergence of the anomalous frictionless regime. In this regime the particles can experience active propulsion leading to the transient attraction effect. This effect suggests a nonequilibrium mechanism facilitating the molecular binding of the like-charged particles. © 2016 American Physical Society.},\nkeywords={Bins;  Charged particles;  Differential equations;  Friction;  White noise, Analytical formulas;  Deterministic modeling;  Fluctuation-dissipation relation;  Friction coefficients;  Nonequilibrium mechanisms;  Spatial correlation functions;  Spatially correlated noise;  Temporal correlations, Binary mixtures},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n To hit or to pass it over - Remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Chechkin, A.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 49(50). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"To$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2016,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Chechkin, A.},\ntitle={To hit or to pass it over - Remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2016},\nvolume={49},\nnumber={50},\ndoi={10.1088/1751-8113/49/50/504001},\nart_number={504001},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84999663727&doi=10.1088%2f1751-8113%2f49%2f50%2f504001&partnerID=40&md5=bb8002290aba0827088f22ddeb9c5e2b},\nabstract={The term 'Lévy flights' was coined by Benoit Mandelbrot, who thus poeticized α-stable Lévy random motion, a Markovian process with stationary independent increments distributed according to the α-stable Lévy probability law. Contrary to the Brownian motion, the trajectories of the α-stable Lévy motion are discontinous, that is exhibit jumps. This feature implies that the process of first passage through the boundary of a given space domain, or the first escape, is different from the process of first arrival (hit) at the boundary. Here we investigate the properties of first escapes and first arrivals for Lévy flights and explore how the asymptotic behavior of the corresponding (passage and hit) probabilities is sensitive to the size of the domain. In particular, we find that the survival probability to stay in a large enough, finite domain has a universal Sparre Andersen temporal scaling , which is transient and changes to an exponential non-universal decay at longer times. Also, the probability to arrive at a finite domain possesses a similar transient Sparre Andersen universality that turns into a non-universal and slower power-law decay in course of time. Finally, we demonstrate that the probability density of the leapover length ℓ over the boundary, related to overshooting events, has an intermediate asymptotics () which is inherent for the escape from a semi-infinite domain. However, for larger leapovers the probability density decays faster according to the law. Thus, we find that the laws derived for the α-stable processes on the semi-infinite domain, manifest themselves as transients for Lévy flights on the finite domain. © 2016 IOP Publishing Ltd.},\nauthor_keywords={first arrival;  first escape;  leapovers;  Lévy flights},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape from a disk with partly absorbing boundaries driven by bi-variate α-stable noises.\n \n \n \n \n\n\n \n Szczepaniec, K.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2016(5). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Szczepaniec2016,\nauthor={Szczepaniec, K. and Dybiec, B.},\ntitle={Escape from a disk with partly absorbing boundaries driven by bi-variate α-stable noises},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2016},\nvolume={2016},\nnumber={5},\ndoi={10.1088/1742-5468/2016/05/054005},\nart_number={054005},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84969749873&doi=10.1088%2f1742-5468%2f2016%2f05%2f054005&partnerID=40&md5=31fbb18b46ef7a232b0b8c47a02d0cc2},\nabstract={In this paper we explore the problem of first escape from the disk. The part of the disk edge, i.e. the arc controlled by the angle φ, is absorbing. For an appropriate choice of parameters the mean first passage time (MFPT) is a non-monotonous function of the stability index α describing jumps' length asymptotics. The dependence of the MFPT on the stability index α is sensitive to the way in which the non-absorbing part of the disk edge is accounted for. © 2016 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={diffusion;  fluctuations (theory);  stochastic particle dynamics (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Spectral characteristics of steady-state Lévy flights in confinement potential profiles.\n \n \n \n \n\n\n \n Kharcheva, A.; Dubkov, A.; Dybiec, B.; Spagnolo, B.; and Valenti, D.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2016(5). 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Spectral$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Kharcheva2016,\nauthor={Kharcheva, A.A. and Dubkov, A.A. and Dybiec, B. and Spagnolo, B. and Valenti, D.},\ntitle={Spectral characteristics of steady-state Lévy flights in confinement potential profiles},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2016},\nvolume={2016},\nnumber={5},\ndoi={10.1088/1742-5468/2016/05/054039},\nart_number={054039},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84969836774&doi=10.1088%2f1742-5468%2f2016%2f05%2f054039&partnerID=40&md5=0cbf919573be4dbcae661b6465da6ca0},\nabstract={The steady-state correlation characteristics of superdiffusion in the form of Levy flights in one-dimensional confinement potential profiles are investigated both theoretically and numerically. Specifically, for Cauchy stable noise we calculate the steady-state probability density function for an infinitely deep rectangular potential well and for a symmetric steep potential well of the type U(x)∞x2m. For these potential profiles and arbitrary Levy index α, we obtain the asymptotic expression of the spectral power density. © 2016 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={rigorous results in statistical mechanics;  stochastic particle dynamics;  stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Non-equilibrium escape problems under bivariate alpha;-stable noises.\n \n \n \n \n\n\n \n Dybiec, B.; Szczepaniec, K.; Kac, M.; and Sokolov, I.\n\n\n \n\n\n\n Acta Physica Polonica B, 47(5): 1327-1339. 2016.\n \n\n\n\n
\n\n\n\n \n \n $\"Non-equilibrium$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20161327,\nauthor={Dybiec, B. and Szczepaniec, K. and Kac, M. and Sokolov, I.M.},\ntitle={Non-equilibrium escape problems under bivariate alpha;-stable noises},\njournal={Acta Physica Polonica B},\nyear={2016},\nvolume={47},\nnumber={5},\npages={1327-1339},\ndoi={10.5506/APhysPolB.47.1327},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85008499530&doi=10.5506%2fAPhysPolB.47.1327&partnerID=40&md5=cdfeb00e9ca471313e03dc5fa66f2779},\nabstract={Stochastic resonance is a prominent effect consisting in enhancement of a response of a physical system to deterministic driving in the presence of noise. It demonstrates a constructive role the noise may play in increasing the sensitivity of the system to weak signals, and emerges in different theoretical models and experimental situations. We consider this effect in a periodically modulated two-dimensional double-well potential under the influence of an isotropic alpha;-stable noise, and discuss the performance of various measures used to describe the stochastic resonance in other setups.},\nkeywords={Magnetic resonance;  Resonance;  Stochastic systems, Bivariate;  Double-well potential;  Escape problem;  Non equilibrium;  Physical systems;  Stochastic resonances;  Weak signals, Circuit resonance},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2015\n \n \n (9)\n \n \n

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\n \n\n \n \n \n \n \n \n Optimal first-arrival times in Lévy flights with resetting.\n \n \n \n \n\n\n \n Kuśmierz, Ł.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92(5). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Optimal$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2015,\nauthor={Kuśmierz, Ł. and Gudowska-Nowak, E.},\ntitle={Optimal first-arrival times in Lévy flights with resetting},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2015},\nvolume={92},\nnumber={5},\ndoi={10.1103/PhysRevE.92.052127},\nart_number={052127},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84949294661&doi=10.1103%2fPhysRevE.92.052127&partnerID=40&md5=71a9a17ee2794d2440f9ae17f4cc641a},\nabstract={We consider the diffusive motion of a particle performing a random walk with Lévy distributed jump lengths and subject to a resetting mechanism, bringing the walker to an initial position at uniformly distributed times. In the limit of an infinite number of steps and for long times, the process converges to superdiffusive motion with replenishment. We derive a formula for the mean first arrival time (MFAT) to a predefined target position reached by a meandering particle and we analyze the efficiency of the proposed searching strategy by investigating criteria for an optimal (a shortest possible) MFAT. © 2015 American Physical Society.},\nkeywords={A-particles;  Diffusive motions;  First arrival;  Infinite numbers;  Jump length;  Random Walk;  Searching strategy;  Target position, Condensed matter physics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Taming Lévy flights in confined crowded geometries.\n \n \n \n \n\n\n \n Cieśla, M.; Dybiec, B.; Sokolov, I.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Chemical Physics, 142(16). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Taming$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla20152,\nauthor={Cieśla, M. and Dybiec, B. and Sokolov, I. and Gudowska-Nowak, E.},\ntitle={Taming Lévy flights in confined crowded geometries},\njournal={Journal of Chemical Physics},\nyear={2015},\nvolume={142},\nnumber={16},\ndoi={10.1063/1.4919368},\nart_number={164904},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84929095682&doi=10.1063%2f1.4919368&partnerID=40&md5=b8f550f6b33a037d57ca5d327e5c4a2a},\nabstract={We study two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is formed from a monolayer of elongated molecules [Ciela J. Chem. Phys. 140, 044706 (2014)] of known concentration. Within this mesh structure, a tracer molecule is allowed to perform a Cauchy random walk with uncorrelated steps. Our analysis shows that the presence of obstacles significantly influences the motion, which in an obstacle-free space would be of a superdiffusive type. At the same time, the selfdiffusive process reveals different anomalous properties, both at the level of a single trajectory realization and after the ensemble averaging. In particular, due to obstacles, the sample mean squared displacement asymptotically grows sublinearly in time, suggesting a non-Markov character of motion. Closer inspection of survival probabilities indicates, however, that the underlying diffusion is memoryless over long time scales despite a strong inhomogeneity of the motion induced by the orientational ordering. © 2015 AIP Publishing LLC.},\nkeywords={Physical chemistry, Diffusive motions;  Ensemble averaging;  Inhomogeneities;  Mesh structures;  Orientational orderings;  Survival probabilities;  Tracer molecules;  Tracer particle, Molecules, anisotropy;  chemical structure;  diffusion;  Markov chain;  motion, Anisotropy;  Diffusion;  Models, Molecular;  Motion;  Stochastic Processes},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stepping molecular motor amid Lévy white noise.\n \n \n \n \n\n\n \n Lisowski, B.; Valenti, D.; Spagnolo, B.; Bier, M.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91(4). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Stepping$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Lisowski2015,\nauthor={Lisowski, B. and Valenti, D. and Spagnolo, B. and Bier, M. and Gudowska-Nowak, E.},\ntitle={Stepping molecular motor amid Lévy white noise},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2015},\nvolume={91},\nnumber={4},\ndoi={10.1103/PhysRevE.91.042713},\nart_number={042713},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84929120671&doi=10.1103%2fPhysRevE.91.042713&partnerID=40&md5=8235fc2058936f8b6cfd9bd74bbd26cb},\nabstract={We consider a model of a stepping molecular motor consisting of two connected heads. Directional motion of the stepper takes place along a one-dimensional track. Each head is subject to a periodic potential without spatial reflection symmetry. When the potential for one head is switched on, it is switched off for the other head. Additionally, the system is subject to the influence of symmetric, white Lévy noise that mimics the action of external random forcing. The stepper exhibits motion with a preferred direction which is examined by analyzing the median of the displacement of a midpoint between the positions of the two heads. We study the modified dynamics of the stepper by numerical simulations. We find flux reversals as noise parameters are changed. Speed and direction appear to very sensitively depend on characteristics of the noise. © 2015 American Physical Society.},\nkeywords={Condensed matter physics, Directional motion;  Flux reversals;  Molecular motors;  Noise parameters;  Periodic potentials;  Spatial reflection, White noise, molecular motor, chemical structure;  chemistry;  computer simulation;  motion, Computer Simulation;  Models, Molecular;  Molecular Motor Proteins;  Motion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n How we move is universal: Scaling in the average shape of human activity.\n \n \n \n \n\n\n \n Chialvo, D.; Torrado, A.; Gudowska-Nowak, E.; Ochab, J.; Montoya, P.; Nowak, M.; and Tagliazucchi, E.\n\n\n \n\n\n\n Papers in Physics, 7. 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"How$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Chialvo2015,\nauthor={Chialvo, D.R. and Torrado, A.M.G. and Gudowska-Nowak, E. and Ochab, J.K. and Montoya, P. and Nowak, M.A. and Tagliazucchi, E.},\ntitle={How we move is universal: Scaling in the average shape of human activity},\njournal={Papers in Physics},\nyear={2015},\nvolume={7},\ndoi={10.4279/PIP.070017},\nart_number={070017},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85054369631&doi=10.4279%2fPIP.070017&partnerID=40&md5=0b6f44044b782a1b818ba8d274698a50},\nabstract={Human motor activity is constrained by the rhythmicity of the 24 hours circadian cycle, including the usual 12-15 hours sleep-wake cycle. However, activity fluctuations also appear over a wide range of temporal scales, from days to a few seconds, resulting from the concatenation of a myriad of individual smaller motor events. Furthermore, individuals present di?erent propensity to wakefulness and thus to motor activity throughout the circadian cycle. Are activity fluctuations across temporal scales intrinsically different, or is there a universal description encompassing them? Is this description also universal across individuals, considering the aforementioned variability? Here we establish the presence of universality in motor activity fluctuations based on the empirical study of a month of continuous wristwatch accelerometer recordings. We study the scaling of average fluctuations across temporal scales and determine a universal law characterized by critical exponents α, τ and 1/µ. Results are highly reminiscent of the universality described for the average shape of avalanches in systems exhibiting crackling noise. Beyond its theoretical relevance, the present results can be important for developing objective markers of healthy as well as pathological human motor behavior. © 2013, Instituto de Fisica de Liquidos y Sistemas Biologicos. All right reserved.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Non-Gaussian polymers described by alpha-stable chain statistics: Model, effective interactions in binary mixtures, and application to on-surface separation.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91(5). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Non-Gaussian$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Majka2015,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Non-Gaussian polymers described by alpha-stable chain statistics: Model, effective interactions in binary mixtures, and application to on-surface separation},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2015},\nvolume={91},\nnumber={5},\ndoi={10.1103/PhysRevE.91.052602},\nart_number={052602},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84929191293&doi=10.1103%2fPhysRevE.91.052602&partnerID=40&md5=ad16d5492d886360e6bc39b3c4bf6d27},\nabstract={The Gaussian chain model is the classical description of a polymeric chain, which provides analytical results regarding end-to-end distance, the distribution of segments around the mass center of a chain, coarse-grained interactions between two chains and effective interactions in binary mixtures. This hierarchy of results can be calculated thanks to the α stability of the Gaussian distribution. In this paper we show that it is possible to generalize the model of Gaussian chain to the entire class of α-stable distributions, obtaining the analogous hierarchy of results expressed by the analytical closed-form formulas in the Fourier space. This allows us to establish the α-stable chain model. We begin with reviewing the applications of Levy flights in the context of polymer sciences, which include: chains described by the heavy-tailed distributions of persistence length; polymers adsorbed to the surface; and the chains driven by a noise with power-law spatial correlations. Further, we derive the distribution of segments around the mass center of the α-stable chain and construct the coarse-grained interaction potential between two chains. These results are employed to discuss the model of binary mixture consisting of the α-stable chains. In what follows, we establish the spinodal decomposition condition generalized to the mixtures of the α-stable polymers. This condition is further applied to compare the on-surface phase separation of adsorbed polymers (which are known to be described with heavy-tailed statistics) with the phase separation condition in the bulk. Finally, we predict the four different scenarios of simultaneous mixing and demixing in the two- and three-dimensional systems. © 2015 American Physical Society.},\nkeywords={Chains;  Gaussian distribution;  Mixtures;  Phase separation;  Polymers;  Spinodal decomposition, Alpha-stable distribution;  Effective interactions;  Gaussian chain models;  Heavy-tailed distribution;  Interaction potentials;  Separation condition;  Spatial correlations;  Three dimensional systems, Binary mixtures},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape from hypercube driven by multi-variate α-stable noises: role of independence.\n \n \n \n \n\n\n \n Dybiec, B.; and Szczepaniec, K.\n\n\n \n\n\n\n European Physical Journal B, 88(7). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2015,\nauthor={Dybiec, B. and Szczepaniec, K.},\ntitle={Escape from hypercube driven by multi-variate α-stable noises: role of independence},\njournal={European Physical Journal B},\nyear={2015},\nvolume={88},\nnumber={7},\npage_count={8},\ndoi={10.1140/epjb/e2015-60429-2},\nart_number={184},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84938236005&doi=10.1140%2fepjb%2fe2015-60429-2&partnerID=40&md5=076db58702f5396484e9208deeb1371c},\nabstract={We explore properties of the escape kinetics from the d-dimensional hypercube driven by multi-variate α-stable noises. Using methods of stochastic dynamics we show complex dependence of the mean first passage time for the escape from the hypercube as a function of the hypercube dimension d. Finally, we show how the escape process can be used to quantify independence of components of multi-variate α-stable noises. © 2015, The Author(s).},\nauthor_keywords={Statistical and Nonlinear Physics},\nkeywords={Stochastic systems, Alpha-stable noise;  Escape process;  Hypercube;  Mean first passage time;  Statistical and Nonlinear Physics;  Stochastic dynamics, Geometry},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape from bounded domains driven by multivariate -stable noises.\n \n \n \n \n\n\n \n Szczepaniec, K.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2015(6). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Szczepaniec2015,\nauthor={Szczepaniec, K. and Dybiec, B.},\ntitle={Escape from bounded domains driven by multivariate -stable noises},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2015},\nvolume={2015},\nnumber={6},\ndoi={10.1088/1742-5468/2015/06/P06031},\nart_number={P06031},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84937837522&doi=10.1088%2f1742-5468%2f2015%2f06%2fP06031&partnerID=40&md5=b7c5252b8c7ccdbf3573e1ca4c4c8197},\nabstract={In this paper we provide an analysis of a mean first passage time problem of a random walker subject to a bivariate -stable Lévy-type noise from a 2-dimensional disk. For an appropriate choice of parameters the mean first passage time reveals non-trivial, non-monotonous dependence on the stability indexdescribing jumps' length asymptotics both for spherical and Cartesian Lévy flights. Finally, we study escape from a d-dimensional hypersphere showing that a d-dimensional escape process can be used to discriminate between various types of multivariate -stable noises, especially spherical and Cartesian Lévy flights. © 2015 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={diffusion;  driven diffusive systems (theory);  stochastic particle dynamics (theory);  stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Taming Lévy flights in confined crowded geometries.\n \n \n \n \n\n\n \n Cieśla, M.; Dybiec, B.; Sokolov, I.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Chemical Physics, 142(16). 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Taming$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla20152,\nauthor={Cieśla, M. and Dybiec, B. and Sokolov, I. and Gudowska-Nowak, E.},\ntitle={Taming Lévy flights in confined crowded geometries},\njournal={Journal of Chemical Physics},\nyear={2015},\nvolume={142},\nnumber={16},\ndoi={10.1063/1.4919368},\nart_number={164904},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84929095682&doi=10.1063%2f1.4919368&partnerID=40&md5=b8f550f6b33a037d57ca5d327e5c4a2a},\nabstract={We study two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is formed from a monolayer of elongated molecules [Ciela J. Chem. Phys. 140, 044706 (2014)] of known concentration. Within this mesh structure, a tracer molecule is allowed to perform a Cauchy random walk with uncorrelated steps. Our analysis shows that the presence of obstacles significantly influences the motion, which in an obstacle-free space would be of a superdiffusive type. At the same time, the selfdiffusive process reveals different anomalous properties, both at the level of a single trajectory realization and after the ensemble averaging. In particular, due to obstacles, the sample mean squared displacement asymptotically grows sublinearly in time, suggesting a non-Markov character of motion. Closer inspection of survival probabilities indicates, however, that the underlying diffusion is memoryless over long time scales despite a strong inhomogeneity of the motion induced by the orientational ordering. © 2015 AIP Publishing LLC.},\nkeywords={Physical chemistry, Diffusive motions;  Ensemble averaging;  Inhomogeneities;  Mesh structures;  Orientational orderings;  Survival probabilities;  Tracer molecules;  Tracer particle, Molecules, anisotropy;  chemical structure;  diffusion;  Markov chain;  motion, Anisotropy;  Diffusion;  Models, Molecular;  Motion;  Stochastic Processes},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Estimation of the smallest eigenvalue in fractional escape problems: Semi-analytics and fits.\n \n \n \n \n\n\n \n Dybiec, B.; and Sokolov, I.\n\n\n \n\n\n\n Computer Physics Communications, 187: 29-37. 2015.\n \n\n\n\n
\n\n\n\n \n \n $\"Estimation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec201529,\nauthor={Dybiec, B. and Sokolov, I.M.},\ntitle={Estimation of the smallest eigenvalue in fractional escape problems: Semi-analytics and fits},\njournal={Computer Physics Communications},\nyear={2015},\nvolume={187},\npages={29-37},\ndoi={10.1016/j.cpc.2014.10.007},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84919876417&doi=10.1016%2fj.cpc.2014.10.007&partnerID=40&md5=496c26bd65cca43bfdfa4ddaa828bd00},\nabstract={Continuous time random walks with heavy tailed distributions of waiting times and jump lengths lead to situations when evolution of a probability density of finding a particle at given point at given time is described by the bi-fractional Smoluchowski-Fokker-Planck equation. A power-law distribution of waiting times results in very general properties of a survival probability which in turn can be used to estimate eigenvalues of some fractional operators. Here, the problem of numerical estimation of the smallest eigenvalues is discussed for the two generic problems: escape from a finite interval and the Kramers problem of escape from a potential well. We discuss both how to numerically obtain the (effective) smallest eigenvalue of the problem, and how it can be used in numerically assessing other important characteristics of the processes. © 2014 Elsevier B.V. All rights reserved.},\nauthor_keywords={Mittag-Leffler distribution;  Nonlinear curve fitting;  Survival probability},\nkeywords={Escape problem;  Mittag-Leffler;  Nonlinear curve fitting;  Smallest eigenvalue;  Survival probabilities},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2014\n \n \n (14)\n \n \n

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\n \n\n \n \n \n \n \n \n Landau Theory of Nematic Phases.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Landau$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@BOOK{Longa2014133,\nauthor={Longa, L.},\ntitle={Landau Theory of Nematic Phases},\njournal={Biaxial Nematic Liquid Crystals: Theory, Simulation and Experiment},\nyear={2014},\npages={133-151},\ndoi={10.1002/9781118696316.ch5},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84975706459&doi=10.1002%2f9781118696316.ch5&partnerID=40&md5=f718bd48449f2bd4134d3e1f8003ce45},\nabstract={This chapter describes the structure and predictions of the Landau theory of classical nematic phases. In particular, it shows that a consistent theory should involve general couplings between primary uniaxial and biaxial order parameters. These couplings are only partly accounted for by the standard Landau-de Gennes approach as indicated by molecular theories. The Landau theory of biaxial nematics can be derived in a systematic way from density functional theory, like molecular field. The chapter not only gives a molecular interpretation of the alignment tensor, but also expresses the Landau expansion coefficients in terms of molecular parameters. That gives a bridge between phenomenological phase diagrams and microscopic modelling. One of the most fundamental descriptions of the symmetry change from isotropic to uniaxial and biaxial nematics is offered by the phenomenological Landau theory. © 2015 John Wiley & Sons, Ltd. All rights reserved.},\nauthor_keywords={Biaxial nematics;  Landau theory;  Molecular parameters;  Nematic phases;  Point group symmetry},\nkeywords={Couplings, Biaxial nematics;  Landau theory;  Molecular parameters;  Nematic phasis;  Point group symmetry, Density functional theory},\ncorrespondence_address1={Longa, L.; Marian Smoluchowski Institute of Physics, Jagiellonian UniversityPoland},\ndocument_type={Book Chapter},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Scale-free fluctuations in behavioral performance: Delineating changes in spontaneous behavior of humans with induced sleep deficiency.\n \n \n \n \n\n\n \n Ochab, J.; Tyburczyk, J.; Beldzik, E.; Chialvo, D.; Domagalik, A.; Fafrowicz, M.; Gudowska-Nowak, E.; Marek, T.; Nowak, M.; Oginska, H.; and Szwed, J.\n\n\n \n\n\n\n PLoS ONE, 9(9). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Scale-free$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ochab2014,\nauthor={Ochab, J.K. and Tyburczyk, J. and Beldzik, E. and Chialvo, D.R. and Domagalik, A. and Fafrowicz, M. and Gudowska-Nowak, E. and Marek, T. and Nowak, M.A. and Oginska, H. and Szwed, J.},\ntitle={Scale-free fluctuations in behavioral performance: Delineating changes in spontaneous behavior of humans with induced sleep deficiency},\njournal={PLoS ONE},\nyear={2014},\nvolume={9},\nnumber={9},\ndoi={10.1371/journal.pone.0107542},\nart_number={e107542},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84907266278&doi=10.1371%2fjournal.pone.0107542&partnerID=40&md5=db487da777ba294ef3976926c90fea45},\nabstract={The timing and dynamics of many diverse behaviors of mammals, e.g., patterns of animal foraging or human communication in social networks exhibit complex self-similar properties reproducible over multiple time scales. In this paper, we analyze spontaneous locomotor activity of healthy individuals recorded in two different conditions: during a week of regular sleep and a week of chronic partial sleep deprivation. After separating activity from rest with a pre-defined activity threshold, we have detected distinct statistical features of duration times of these two states. The cumulative distributions of activity periods follow a stretched exponential shape, and remain similar for both control and sleep deprived individuals. In contrast, rest periods, which follow power-law statistics over two orders of magnitude, have significantly distinct distributions for these two groups and the difference emerges already after the first night of shortened sleep. We have found steeper distributions for sleep deprived individuals, which indicates fewer long rest periods and more turbulent behavior. This separation of power-law exponents is the main result of our investigations, and might constitute an objective measure demonstrating the severity of sleep deprivation and the effects of sleep disorders. © 2014 Ochab et al.},\nkeywords={actimetry;  adult;  analytical equipment;  Article;  behavior change;  circadian rhythm;  controlled study;  cumulative distribution;  disease duration;  disease severity;  experimental design;  female;  human;  human experiment;  locomotion;  male;  normal distribution;  normal human;  patient identification;  power law exponent;  probability;  rest;  rested wakefulness;  scale free fluctuation;  sleep deprivation;  sleep time;  statistical analysis;  statistical concepts;  statistical distribution;  statistical parameters;  time series analysis;  wakefulness;  motor activity;  pathophysiology;  physiology;  REM sleep;  sleep;  sleep deprivation, Adult;  Female;  Humans;  Male;  Motor Activity;  Sleep;  Sleep Deprivation;  Sleep, REM;  Wakefulness},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Heat and work distributions for mixed Gauss-Cauchy process.\n \n \n \n \n\n\n \n Kuśmierz, Ł.; Rubi, J.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2014(9). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Heat$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2014,\nauthor={Kuśmierz, Ł. and Rubi, J.M. and Gudowska-Nowak, E.},\ntitle={Heat and work distributions for mixed Gauss-Cauchy process},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2014},\nvolume={2014},\nnumber={9},\ndoi={10.1088/1742-5468/2014/09/P09002},\nart_number={P09002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84907494425&doi=10.1088%2f1742-5468%2f2014%2f09%2fP09002&partnerID=40&md5=7f4630a38d69c5f3c0082e67e775d523},\nabstract={We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional external noise, with both sources of perturbations considered as additive and statistically independent forcings. We define thermodynamic quantities for trajectories of the process and analyze contributions to mechanical work and heat. As a working example we consider a particle subjected to a drag force and two statistically independent Lévy white noises with stability indices α = 2 and α = 1. The fluctuations of dissipated energy (heat) and distribution of work performed by the force acting on the system are addressed by examining contributions of Cauchy fluctuations (α = 1) to either bath or external force acting on the system. © 2014 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={fluctuations (theory);  stochastic processes;  transport processes/heat transfer (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic modelling for biodosimetry: Predicting the chromosomal response to radiation at different time points after exposure.\n \n \n \n \n\n\n \n Deperas-Standylo, J.; Gudowska-Nowak, E.; and Ritter, S.\n\n\n \n\n\n\n European Physical Journal D, 68(7). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Deperas-Standylo2014,\nauthor={Deperas-Standylo, J. and Gudowska-Nowak, E. and Ritter, S.},\ntitle={Stochastic modelling for biodosimetry: Predicting the chromosomal response to radiation at different time points after exposure},\njournal={European Physical Journal D},\nyear={2014},\nvolume={68},\nnumber={7},\ndoi={10.1140/epjd/e2014-50014-x},\nart_number={204},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84957577419&doi=10.1140%2fepjd%2fe2014-50014-x&partnerID=40&md5=8a280fa164f4ece207e93ac0481b5280},\nabstract={Cytogenetic data accumulated from the experiments with peripheral blood lymphocytes exposed to densely ionizing radiation clearly demonstrate that for particles with linear energy transfer (LET) &gt;100 keV/μm the derived relative biological effectiveness (RBE) will strongly depend on the time point chosen for the analysis. A reasonable prediction of radiation-induced chromosome damage and its distribution among cells can be achieved by exploiting Monte Carlo methodology along with the information about the radius of the penetrating ion-track and the LET of the ion beam. In order to examine the relationship between the track structure and the distribution of aberrations induced in human lymphocytes and to clarify the correlation between delays in the cell cycle progression and the aberration burden visible at the first post-irradiation mitosis, we have analyzed chromosome aberrations in lymphocytes exposed to Fe-ions with LET values of 335 keV/μm and formulated a Monte Carlo model which reflects time-delay in mitosis of aberrant cells. Within the model the frequency distributions of aberrations among cells follow the pattern of local energy distribution and are well approximated by a time-dependent compound Poisson statistics. The cell-division cycle of undamaged and aberrant cells and chromosome aberrations are modelled as a renewal process represented by a random sum of (independent and identically distributed) random elements S N = ⊂ N i=0 X i . Here N stands for the number of particle traversals of cell nucleus, each leading to a statistically independent formation of X i aberrations. The parameter N is itself a random variable and reflects the cell cycle delay of heavily damaged cells. The probability distribution of S N follows a general law for which the moment generating function satisfies the relation Φ S N = Φ N (Φ X i ). Formulation of the Monte Carlo model which allows to predict expected fluxes of aberrant and non-aberrant cells has been based on several input information: (i) experimentally measured mitotic index in the population of irradiated cells; (ii) scored fraction of cells in first cell cycle; (iii) estimated average number of particle traversals per cell nucleus. By reconstructing the local dose distribution in the biological target, the relevant amount of lesions induced by ions is estimated from the biological effect induced by photons at the same dose level. Moreover, the total amount of aberrations induced within the entire population has been determined. For each subgroup of intact (non-hit) and aberrant cells the cell-division cycle has been analyzed reproducing correctly an expected correlation between mitotic delay and the number of aberrations carried by a cell. This observation is of particular importance for the proper estimation of the biological efficiency of ions and for the estimation of health risks associated with radiation exposure. © 2014 The Author(s).},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n Cytogenetic data accumulated from the experiments with peripheral blood lymphocytes exposed to densely ionizing radiation clearly demonstrate that for particles with linear energy transfer (LET) >100 keV/μm the derived relative biological effectiveness (RBE) will strongly depend on the time point chosen for the analysis. A reasonable prediction of radiation-induced chromosome damage and its distribution among cells can be achieved by exploiting Monte Carlo methodology along with the information about the radius of the penetrating ion-track and the LET of the ion beam. In order to examine the relationship between the track structure and the distribution of aberrations induced in human lymphocytes and to clarify the correlation between delays in the cell cycle progression and the aberration burden visible at the first post-irradiation mitosis, we have analyzed chromosome aberrations in lymphocytes exposed to Fe-ions with LET values of 335 keV/μm and formulated a Monte Carlo model which reflects time-delay in mitosis of aberrant cells. Within the model the frequency distributions of aberrations among cells follow the pattern of local energy distribution and are well approximated by a time-dependent compound Poisson statistics. The cell-division cycle of undamaged and aberrant cells and chromosome aberrations are modelled as a renewal process represented by a random sum of (independent and identically distributed) random elements S N = ⊂ N i=0 X i . Here N stands for the number of particle traversals of cell nucleus, each leading to a statistically independent formation of X i aberrations. The parameter N is itself a random variable and reflects the cell cycle delay of heavily damaged cells. The probability distribution of S N follows a general law for which the moment generating function satisfies the relation Φ S N = Φ N (Φ X i ). Formulation of the Monte Carlo model which allows to predict expected fluxes of aberrant and non-aberrant cells has been based on several input information: (i) experimentally measured mitotic index in the population of irradiated cells; (ii) scored fraction of cells in first cell cycle; (iii) estimated average number of particle traversals per cell nucleus. By reconstructing the local dose distribution in the biological target, the relevant amount of lesions induced by ions is estimated from the biological effect induced by photons at the same dose level. Moreover, the total amount of aberrations induced within the entire population has been determined. For each subgroup of intact (non-hit) and aberrant cells the cell-division cycle has been analyzed reproducing correctly an expected correlation between mitotic delay and the number of aberrations carried by a cell. This observation is of particular importance for the proper estimation of the biological efficiency of ions and for the estimation of health risks associated with radiation exposure. © 2014 The Author(s).\n

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\n \n\n \n \n \n \n \n \n Cost-benefit analysis of epidemics spreading on clustered random networks.\n \n \n \n \n\n\n \n Oleś, K.; Gudowska-Nowak, E.; and Kleczkowski, A.\n\n\n \n\n\n\n Acta Physica Polonica B, 45(1): 43-60. 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Cost-benefit$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Oles201443,\nauthor={Oleś, K. and Gudowska-Nowak, E. and Kleczkowski, A.},\ntitle={Cost-benefit analysis of epidemics spreading on clustered random networks},\njournal={Acta Physica Polonica B},\nyear={2014},\nvolume={45},\nnumber={1},\npages={43-60},\ndoi={10.5506/APhysPolB.45.43},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84893446815&doi=10.5506%2fAPhysPolB.45.43&partnerID=40&md5=a2c188f3c55ebe057006e731a3d21c72},\nabstract={We study, control of infectious disease epidemics spreading on random networks with different levels of clustering. We use Gleeson's et al., Phys. Rev. E80, 036107 (2009) algorithm to create clustered networks in which a proportion of individuals is located in fully-connected cliques of certain size. A SIR model is extended to include delayed and imperfect detection of infectious individuals. We also include a combination of responsive (palliative) and preventive (vaccination) treatments and design cost-effective disease control strategies. Cost-benefit analysis is used in combination with epidemiological simulations to identify an optimal radius for a treatment centred upon the symptomatic individual. Three general control strategies occur depending on the relative cost of treatment and prevention. Network topology and, in particular, clustering also affects the applicability of the control strategy. The average path length appears to be more important; the range for the control strategy is wider with the length, but the optimal radius of control also extends. As the proportion of individuals in cliques and therefore the coefficient of clustering is higher, the range of the costs for which control scenario is optimal is greater. This results have important consequences for designing disease control strategies that also satisfy economic optimality criteria.},\nkeywords={Average path length;  Clustered networks;  Control strategies;  Epidemiological simulations;  Infectious disease;  Network topology;  Optimality criteria;  Random network, Cost benefit analysis;  Electric network topology;  Epidemiology, Optimization},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Tracer diffusion inside fibrinogen layers.\n \n \n \n \n\n\n \n Cieśla, M.; Gudowska-Nowak, E.; Sagués, F.; and Sokolov, I.\n\n\n \n\n\n\n Journal of Chemical Physics, 140(4). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Tracer$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla20144,\nauthor={Cieśla, M. and Gudowska-Nowak, E. and Sagués, F. and Sokolov, I.M.},\ntitle={Tracer diffusion inside fibrinogen layers},\njournal={Journal of Chemical Physics},\nyear={2014},\nvolume={140},\nnumber={4},\ndoi={10.1063/1.4862170},\nart_number={044706},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84902191429&doi=10.1063%2f1.4862170&partnerID=40&md5=75157b6832119050066a2e1cd2f43cb9},\nabstract={We investigate the obstructed motion of tracer (test) particles in crowded environments by carrying simulations of two-dimensional Gaussian random walk in model fibrinogen monolayers of different orientational ordering. The fibrinogen molecules are significantly anisotropic and therefore they can form structures where orientational ordering, similar to the one observed in nematic liquid crystals, appears. The work focuses on the dependence between level of the orientational order (degree of environmental crowding) of fibrinogen molecules inside a layer and non-Fickian character of the diffusion process of spherical tracer particles moving within the domain. It is shown that in general particles motion is subdiffusive and strongly anisotropic, and its characteristic features significantly change with the orientational order parameter, concentration of fibrinogens, and radius of a diffusing probe. © 2014 AIP Publishing LLC.},\nkeywords={Computer simulation;  Molecules;  Nematic liquid crystals, Diffusion process;  Gaussian random walk;  Non-Fickian;  Orientational order parameters;  Orientational orderings;  Particles motions;  Spherical tracers;  Tracer diffusion, Anisotropy},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Analytical theory of effective interactions in binary colloidal systems of soft particles.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90(3). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Analytical$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Majka2014,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Analytical theory of effective interactions in binary colloidal systems of soft particles},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2014},\nvolume={90},\nnumber={3},\ndoi={10.1103/PhysRevE.90.032303},\nart_number={032303},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84907259484&doi=10.1103%2fPhysRevE.90.032303&partnerID=40&md5=c97cad7f1799276e7f58023d1a262408},\nabstract={While density functional theory with integral equations techniques are very efficient tools in the numerical analysis of complex fluids, analytical insight into the phenomenon of effective interactions is still limited. In this paper, we propose a theory of binary systems that results in a relatively simple analytical expression combining arbitrary microscopic potentials into effective interaction. The derivation is based on translating a many-particle Hamiltonian including particle-depletant and depletant-depletant interactions into the occupation field language, which turns the partition function into multiple Gaussian integrals, regardless of what microscopic potentials are chosen. As a result, we calculate the effective Hamiltonian and discuss when our formula is a dominant contribution to the effective interactions. Our theory allows us to analytically reproduce several important characteristics of systems under scrutiny. In particular, we analyze the following: the effective attraction as a demixing factor in the binary systems of Gaussian particles, the screening of charged spheres by ions, which proves equivalent to Derjaguin-Landau-Verwey-Overbeek (DLVO) theory, effective interactions in the binary mixtures of Yukawa particles, and the system of particles consisting of both a repulsive core and an attractive/repulsive Yukawa interaction tail. For this last case, we reproduce the "attraction-through-repulsion" and "repulsion-through-attraction" effects previously observed in simulations. © 2014 American Physical Society.},\nkeywords={Analytical theory;  Colloidal system;  Effective interactions;  Soft particles, colloid, colloid;  Fourier analysis;  normal distribution;  theoretical model, Colloids;  Fourier Analysis;  Models, Theoretical;  Normal Distribution},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Modelling asymmetrical synchronization with dominant agents.\n \n \n \n \n\n\n \n Siekański, K.; and Góra, P.\n\n\n \n\n\n\n Acta Physica Polonica B, 45(10): 1915-1919. 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Modelling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Siekanski20141915,\nauthor={Siekański, K. and Góra, P.F.},\ntitle={Modelling asymmetrical synchronization with dominant agents},\njournal={Acta Physica Polonica B},\nyear={2014},\nvolume={45},\nnumber={10},\npages={1915-1919},\ndoi={10.5506/APhysPolB.45.1915},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84910671264&doi=10.5506%2fAPhysPolB.45.1915&partnerID=40&md5=be0acbf2177ae9b7308d6483f6cdabd3},\nabstract={We present an extension of the classical Kuramoto model, adjusted for analysis of sets of asymmetrically coupled units. Results of numerical simulations suggest that violating Newton's Third Law by adding a strongly dominating unit can lead to synchronization in systems previously unable to synchronize.},\nkeywords={Kuramoto models;  Newton's third law, Synchronization},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stationary states in two-dimensional systems driven by bivariate Lévy noises.\n \n \n \n \n\n\n \n Szczepaniec, K.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90(3). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Stationary$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Szczepaniec20140,\nauthor={Szczepaniec, K. and Dybiec, B.},\ntitle={Stationary states in two-dimensional systems driven by bivariate Lévy noises},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2014},\nvolume={90},\nnumber={3},\ndoi={10.1103/PhysRevE.90.032128},\nart_number={032128},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84907260797&doi=10.1103%2fPhysRevE.90.032128&partnerID=40&md5=4e8ce48898e97a4e39a248fdd5272bae},\nabstract={Systems driven by α-stable noises could be very different from their Gaussian counterparts. Stationary states in single-well potentials can be multimodal. Moreover, a potential well needs to be steep enough in order to produce stationary states. Here it is demonstrated that two-dimensional (2D) systems driven by bivariate α-stable noises are even more surprising than their 1D analogs. In 2D systems, intriguing properties of stationary states originate not only due to heavy tails of noise pulses, which are distributed according to α-stable densities, but also because of properties of spectral measures. Consequently, 2D systems are described by a whole family of Langevin and fractional diffusion equations. Solutions of these equations bear some common properties, but also can be very different. It is demonstrated that also for 2D systems potential wells need to be steep enough in order to produce bounded states. Moreover, stationary states can have local minima at the origin. The shape of stationary states reflects symmetries of the underlying noise, i.e., its spectral measure. Finally, marginal densities in power-law potentials also have power-law asymptotics. © 2014 American Physical Society.},\nkeywords={Bivariate;  Stationary state;  Two-dimensional systems, theoretical model, Models, Theoretical},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant activation in 2D and 3D systems driven by multi-variate Lévy noise.\n \n \n \n \n\n\n \n Szczepaniec, K.; and Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2014(9). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Szczepaniec20141,\nauthor={Szczepaniec, K. and Dybiec, B.},\ntitle={Resonant activation in 2D and 3D systems driven by multi-variate Lévy noise},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2014},\nvolume={2014},\nnumber={9},\ndoi={10.1088/1742-5468/2014/09/P09022},\nart_number={P09022},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84907482117&doi=10.1088%2f1742-5468%2f2014%2f09%2fP09022&partnerID=40&md5=4595f01645a3fcbe9eb517539165818a},\nabstract={Resonant activation is one of the classical effects demonstrating the constructive role of noise. In resonant activation, the cooperative action of a barrier modulation process and noise lead to the optimal escape kinetics as measured by the mean first passage time. Resonant activation has been observed in versatile systems for various types of barrier modulation process and noise type. Here, we show that resonant activation is also observed in 2D and 3D systems driven by bi-variate and tri-variate α-stable noise. The strength of resonant activation is sensitive to the exact value of the noise parameters. In particular, the decrease in the stability index α results in the disappearance of the resonant activation. © 2014 IOP Publishing Ltd and SISSA Medialab srl.},\nauthor_keywords={diffusion;  stochastic particle dynamics (theory);  stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Modeling rises and falls in money addicted social hierarchies.\n \n \n \n \n\n\n \n Dybiec, B.; Mitarai, N.; and Sneppen, K.\n\n\n \n\n\n\n Physica Scripta, 89(8). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Modeling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2014,\nauthor={Dybiec, B. and Mitarai, N. and Sneppen, K.},\ntitle={Modeling rises and falls in money addicted social hierarchies},\njournal={Physica Scripta},\nyear={2014},\nvolume={89},\nnumber={8},\ndoi={10.1088/0031-8949/89/8/085002},\nart_number={085002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84905185602&doi=10.1088%2f0031-8949%2f89%2f8%2f085002&partnerID=40&md5=bdb030c0b528a3b6df1c8d199f606977},\nabstract={The emergence of large communities is inherently associated with the creation of social structures. Connections between individuals are indispensable for cooperative action of agents building social groups. Moreover, social groups usually evolve and their structure changes over time. Consequently, an underlying network connecting individuals is not static, reflecting an ongoing adaptation to new conditions. The evolution of social connections is influenced by the relative position (hierarchy) of individuals building the system as well as by the availability of resources. We explore this aspect of human ambition by modeling the interplay of social networking and an uneven distribution of external resources. The model naturally generates social hierarchies. Remarkably, this social structure exhibits a rise-and-fall behavior. A well pronounced quasi-periodic dynamics, which is closely associated with the dissipation of resources that are needed to sustain the social links, is revealed. © 2014 The Royal Swedish Academy of Sciences.},\nauthor_keywords={entropy and other measures of information;  fluctuation phenomena;  random processes;  social and economic systems},\nkeywords={Molecular physics;  Physics, External resources;  Fluctuation phenomena;  Measures of information;  Relative positions;  Social and economic systems;  Social connection;  Social hierarchy;  Underlying networks, Random processes},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Quantifying a resonant-activation-like phenomenon in non-Markovian systems.\n \n \n \n \n\n\n \n Szczepaniec, K.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 89(4). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Quantifying$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Szczepaniec20142,\nauthor={Szczepaniec, K. and Dybiec, B.},\ntitle={Quantifying a resonant-activation-like phenomenon in non-Markovian systems},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2014},\nvolume={89},\nnumber={4},\ndoi={10.1103/PhysRevE.89.042138},\nart_number={042138},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84899743385&doi=10.1103%2fPhysRevE.89.042138&partnerID=40&md5=cd0653d9ddb9093efa1ba4084fdacce9},\nabstract={Resonant activation is an effect of a noise-induced escape over a modulated potential barrier. The modulation of an energy landscape facilitates the escape kinetics and makes it optimal as measured by the mean first-passage time. A canonical example of resonant activation is a Brownian particle moving in a time-dependent potential under action of Gaussian white noise. Resonant activation is observed not only in typical Markovian-Gaussian systems but also in far-from-equilibrium and far-from-Markovianity regimes. We demonstrate that using an alternative to the mean first-passage time, robust measures of resonant activation, the signature of this effect can be observed in general continuous-time random walks in modulated potentials, even in situations when the mean first-passage time diverges. © 2014 American Physical Society.},\nkeywords={Condensed matter physics;  Physics, Brownian particles;  Continuous-time random walk;  Gaussian white noise;  Mean first-passage time;  Noise-induced escape;  Potential barriers;  Resonant activation;  Time-dependent potentials, White noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Improving epidemic control strategies by extended detection.\n \n \n \n \n\n\n \n Karp, P.; Dybiec, B.; and Kleczkowski, A.\n\n\n \n\n\n\n International Journal of Modern Physics C, 25(4). 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Improving$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Karp2014,\nauthor={Karp, P. and Dybiec, B. and Kleczkowski, A.},\ntitle={Improving epidemic control strategies by extended detection},\njournal={International Journal of Modern Physics C},\nyear={2014},\nvolume={25},\nnumber={4},\ndoi={10.1142/S0129183113501064},\nart_number={1350106},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84897656924&doi=10.1142%2fS0129183113501064&partnerID=40&md5=873fc39f67cd2abba336a24dc5445427},\nabstract={Majority of epidemics eradication programs work in preventive responsive way. The lack of exact information about epidemiological status of individuals makes responsive actions less efficient. Here, we demonstrate that additional tests can significantly increase the efficiency of blind treatment (vaccination or culling). Eradication strategy consisting of blind treatment in very limited local neighborhood supplemented by extra tests in a little bit larger neighborhood is able to prevent invasion of even highly infectious diseases and to achieve this at a cost lower than for the blind strategy. The effectiveness of the extended strategy depends on such parameters as the test efficiency and test cost. © 2014 World Scientific Publishing Company.},\nauthor_keywords={disease spread;  epidemiological control;  Epidemiological modeling;  stochastic modeling},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape from finite intervals: Numerical studies of order statistics.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Acta Physica Polonica B, 45(5): 1037-1049. 2014.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20141037,\nauthor={Dybiec, B.},\ntitle={Escape from finite intervals: Numerical studies of order statistics},\njournal={Acta Physica Polonica B},\nyear={2014},\nvolume={45},\nnumber={5},\npages={1037-1049},\ndoi={10.5506/APhysPolB.45.1037},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84901787267&doi=10.5506%2fAPhysPolB.45.1037&partnerID=40&md5=269de558736e5b3d7e4e35f6f0cdf942},\nabstract={The subdiffusive systems are characterized by the diverging mean residence time. The escape of a subdiffusive particle from finite intervals cannot be characterized by the mean exit time. The situation significantly changes when instead of a single subdiffusive particle there is an ensemble of subdiffusive particles. In such a case, if the ensemble of particles is large enough, the mean minimal first escape time (first exit time of the fastest particle) is well defined quantity and the minimal first exit time distribution has fast decaying power-law asymptotics. Consequently, the increase in the number of particles facilitates escape kinetics and shortenes the system's lifetime.},\nkeywords={Physical properties;  Physics, Asymptotics;  Escape time;  Exit time;  Finite intervals;  Mean exit time;  Mean residence time;  Order statistics;  Power-law, Residence time distribution},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n 2013\n \n \n (7)\n \n \n

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\n \n\n \n \n \n \n \n \n Synchronization of Kuramoto oscillators with distance-dependent delay.\n \n \n \n \n\n\n \n Trojanowski, K.; and Longa, L.\n\n\n \n\n\n\n Acta Physica Polonica B, 44(5): 991-995. 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Synchronization$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Trojanowski2013991,\nauthor={Trojanowski, K. and Longa, L.},\ntitle={Synchronization of Kuramoto oscillators with distance-dependent delay},\njournal={Acta Physica Polonica B},\nyear={2013},\nvolume={44},\nnumber={5},\npages={991-995},\ndoi={10.5506/APhysPolB.44.991},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84879578090&doi=10.5506%2fAPhysPolB.44.991&partnerID=40&md5=3615c290f9f01ed93acbc1da52dc9916},\nabstract={We investigate the synchronization process in a Kuramoto model of phase-coupled oscillators with distance-dependent delay. The oscillators occupy the nodes of a two-dimensional square lattice subjected to periodic boundary conditions. The mean-field interactions with velocity-dependent delays propagate along the lattice sites. This gives rise to a non-uniform distribution of delays and lattice dimensionality dependence, which is not present in mean-field models without delays. We find that the 'coupling strength-delay' phase diagram does not show up reentrant behavior present in models with uniform delay. A number of dynamic patterns, reported earlier for a generalized Kuramoto model with non-mean-field distance-dependent interactions, is also found.},\nkeywords={Kuramoto oscillators;  Lattice dimensionalities;  Mean-field interactions;  Non-uniform distribution;  Periodic boundary conditions;  Phase-coupled oscillators;  Synchronization process;  Two dimensional square lattice, Mathematical models, Synchronization},\ncorrespondence_address1={Division of Statistical Physics, Mark Kac Complex Systems Research Center, Jagiellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Efficient Control of Epidemics Spreading on Networks: Balance between Treatment and Recovery.\n \n \n \n \n\n\n \n Oleś, K.; Gudowska-Nowak, E.; and Kleczkowski, A.\n\n\n \n\n\n\n PLoS ONE, 8(6). 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Efficient$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Oles2013,\nauthor={Oleś, K. and Gudowska-Nowak, E. and Kleczkowski, A.},\ntitle={Efficient Control of Epidemics Spreading on Networks: Balance between Treatment and Recovery},\njournal={PLoS ONE},\nyear={2013},\nvolume={8},\nnumber={6},\ndoi={10.1371/journal.pone.0063813},\nart_number={e63813},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84878662549&doi=10.1371%2fjournal.pone.0063813&partnerID=40&md5=be81307e445b3479771328513edc46b7},\nabstract={We analyse two models describing disease transmission and control on regular and small-world networks. We use simulations to find a control strategy that minimizes the total cost of an outbreak, thus balancing the costs of disease against that of the preventive treatment. The models are similar in their epidemiological part, but differ in how the removed/recovered individuals are treated. The differences in models affect choice of the strategy only for very cheap treatment and slow spreading disease. However for the combinations of parameters that are important from the epidemiological perspective (high infectiousness and expensive treatment) the models give similar results. Moreover, even where the choice of the strategy is different, the total cost spent on controlling the epidemic is very similar for both models. © 2013 Oleś et al.},\nkeywords={article;  disease control;  disease transmission;  epidemic;  infection control;  infection sensitivity;  mathematical model, Communicable Disease Control;  Communicable Diseases;  Epidemics;  Humans;  Models, Theoretical},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Onsagers fluctuation theory and new developments including non-equilibrium Lévy fluctuations.\n \n \n \n \n\n\n \n Kuśmierz, L.; Ebeling, W.; Sokolov, I.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica B, 44(5): 859-887. 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Onsagers$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Kusmierz2013859,\nauthor={Kuśmierz, L. and Ebeling, W. and Sokolov, I.M. and Gudowska-Nowak, E.},\ntitle={Onsagers fluctuation theory and new developments including non-equilibrium Lévy fluctuations},\njournal={Acta Physica Polonica B},\nyear={2013},\nvolume={44},\nnumber={5},\npages={859-887},\ndoi={10.5506/APhysPolB.44.859},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84879596344&doi=10.5506%2fAPhysPolB.44.859&partnerID=40&md5=1d0564ecf6071b6d8f9ad5131a7f4f9f},\nabstract={The first part of the paper briefly reviews and explains basic ideas of the theory of Gaussian fluctuations and their relaxation developed in 1931 by Lars Onsager in the context of a general theory of irreversible processes. Motivated by Onsager's approach, we extend the theory to fluctuations including Lévy processes. We assume that deviations from Gaussian distributions, which are often observed in non-equilibrium systems, may be described by convoluted Gauss-Lévy distributions and their relation to stationary states by generalized Smoluchowski equations. The central part of the distributions we study here is determined by the Gaussian core with the wings decaying according to a power law characteristic for a Lévy-type contribution to statistics. Furthermore, we develop a generalization of Onsager's theory of linear relaxation processes to those which include statistically independent Gaussian fluctuations and (non-equilibrium) Lévy noises. We apply the generalized version of the fluctuation- dissipation theorem (FDT) to analyze regime of the linear response of the non-equilibrium system driven by Lévy (Cauchy) white noise and subject to thermal (Gaussian) fluctuations. In the last part, applications to non-Maxwellian velocity fluctuations and their relaxations are investigated.},\nkeywords={Fluctuation theory;  Gaussian fluctuations;  Irreversible process;  Nonequilibrium system;  Onsager's theory;  Power-law characteristics;  Smoluchowski equation;  Velocity fluctuations, Relaxation processes;  Statistical mechanics;  White noise, Gaussian distribution},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Controlling uphill motion of an active Brownian particle driven by shot-noise energy pulses.\n \n \n \n \n\n\n \n Fiasconaro, A.; Gudowska-Nowak, E.; and Ebeling, W.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87(3). 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Controlling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Fiasconaro2013,\nauthor={Fiasconaro, A. and Gudowska-Nowak, E. and Ebeling, W.},\ntitle={Controlling uphill motion of an active Brownian particle driven by shot-noise energy pulses},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2013},\nvolume={87},\nnumber={3},\ndoi={10.1103/PhysRevE.87.032111},\nart_number={032111},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84875328270&doi=10.1103%2fPhysRevE.87.032111&partnerID=40&md5=3e521c47c48527e76b50d61d380230eb},\nabstract={We study self-propelled motion of an active Brownian particle moving in a periodic, ratchet-type potential and subject to energy support distributed in quantized portions according to a Poisson spiking process. The motor features of such a system are examined by analyzing its ability to perform work against additional external load. The control parameter of the system is a mean duration time between subsequent energy pulses. Our analysis indicates that directionality of the motion depends strongly on the correlation time between events of energy supply and can be adjusted to maintain optimal functionality of the motor. © 2013 American Physical Society.},\nkeywords={Active Brownian particles;  Control parameters;  Correlation time;  Duration time;  Energy supplies;  External loads;  Self-propelled motion;  Uphill motion, Condensed matter physics, Physics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Reinterpreting polymer unfolding effect induced by a spatially correlated noise.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Acta Physica Polonica B, 44(5): 1099-1107. 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Reinterpreting$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Majka20131099,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Reinterpreting polymer unfolding effect induced by a spatially correlated noise},\njournal={Acta Physica Polonica B},\nyear={2013},\nvolume={44},\nnumber={5},\npages={1099-1107},\ndoi={10.5506/APhysPolB.44.1099},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84879566187&doi=10.5506%2fAPhysPolB.44.1099&partnerID=40&md5=59d604a599fa6c6659e5b252755b2d68},\nabstract={This paper provides additional insight into the effect of spontaneous unfolding of the model polymeric chain driven by spatially correlated noise, described in M. Majka, P.F. Góra, Phys. Rev. E86, 051122 (2012). We examine the statistical data on the linearized chain substructures to find that the global unfolding effect arises mainly from the cumulation of short, 2-segment-long fragments, scattered along the chain. This supports an alternative view of spatially correlated noise as both the source of disturbance and the conformation preserving factor.},\nkeywords={Polymeric chain;  Spatially correlated noise;  Statistical datas, Physical properties;  Physics, Polymers},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Non-Gaussian, non-dynamical stochastic resonance.\n \n \n \n \n\n\n \n Szczepaniec, K.; and Dybiec, B.\n\n\n \n\n\n\n European Physical Journal B, 86(11). 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Non-Gaussian,$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Szczepaniec2013,\nauthor={Szczepaniec, K. and Dybiec, B.},\ntitle={Non-Gaussian, non-dynamical stochastic resonance},\njournal={European Physical Journal B},\nyear={2013},\nvolume={86},\nnumber={11},\ndoi={10.1140/epjb/e2013-40619-8},\nart_number={468},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84888370745&doi=10.1140%2fepjb%2fe2013-40619-8&partnerID=40&md5=9e1ac8e9125560adeea869486637c523},\nabstract={The classical model revealing stochastic resonance is a motion of an overdamped particle in a double-well fourth order potential when combined action of noise and external periodic driving results in amplifying of weak signals. Resonance behavior can also be observed in non-dynamical systems. The simplest example is a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a digitally filtered signal is sensitive to the noise intensity. There exists the optimal value of the noise intensity resulting in the "most" periodic output. Here, we explore properties of the non-dynamical stochastic resonance in non-equilibrium situations, i.e. when the Gaussian noise is replaced by an α-stable noise. We demonstrate that non-equilibrium α-stable noises, depending on noise parameters, can either weaken or enhance the non-dynamical stochastic resonance. © 2013 The Author(s).},\nkeywords={Classical model;  Combined actions;  Filtered signals;  Noise intensities;  Noise parameters;  Overdamped particles;  Periodic output;  Stochastic resonances, Circuit resonance;  Dynamical systems;  Gaussian noise (electronic), Magnetic resonance},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Mittag-leffler pattern in anomalous diffusion.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Lecture Notes in Electrical Engineering, 257 LNEE: 141-146. 2013.\n \n\n\n\n
\n\n\n\n \n \n $\"Mittag-leffler$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2013141,\nauthor={Dybiec, B.},\ntitle={Mittag-leffler pattern in anomalous diffusion},\njournal={Lecture Notes in Electrical Engineering},\nyear={2013},\nvolume={257 LNEE},\npages={141-146},\ndoi={10.1007/978-3-319-00933-9-12},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84880729175&doi=10.1007%2f978-3-319-00933-9-12&partnerID=40&md5=bd4ae21480890764bdfd312d1fe7c431},\nabstract={Various systems described by the bi-fractional Fokker-Planck-Smoluchowski equation display some very general and universal properties. These universal characteristics originate in the underlying competition between long jumps (fractional space derivative) and long waiting times (fractional time derivative). Using a few selected model examples the universal features of anomalous diffusion will be demonstrated. © 2013 Springer International Publishing Switzerland.},\nauthor_keywords={anomalous diffusion;  bi-fractional Fokker-Planck-Smoluchowski equation;  Mittag-Leffler function},\nkeywords={Anomalous diffusion;  bi-fractional Fokker-Planck-Smoluchowski equation;  Mittag-Leffler;  Mittag-Leffler functions;  Time derivative;  Universal properties;  Waiting time, Calculations;  Diffusion, Fokker Planck equation},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n 2012\n \n \n (12)\n \n \n

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\n \n\n \n \n \n \n \n \n Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions.\n \n \n \n \n\n\n \n Trojanowski, K.; Pajk, G.; Longa, L.; and Wydro, T.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(1). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Tetrahedratic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Trojanowski2012,\nauthor={Trojanowski, K. and Pajk, G. and Longa, L. and Wydro, T.},\ntitle={Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2012},\nvolume={86},\nnumber={1},\ndoi={10.1103/PhysRevE.86.011704},\nart_number={011704},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84863972581&doi=10.1103%2fPhysRevE.86.011704&partnerID=40&md5=7acb2b5e7183f6c9ee292cfd570f85f9},\nabstract={We present an exhaustive account of phases and phase transitions that can be stabilized in the recently introduced generalized Lebwohl-Lasher model with quadrupolar and octupolar microscopic interactions. A complete mean-field analysis of the model, along with Monte Carlo simulations allows us to identify four distinct classes of the phase diagrams with a number of multicritical points where, in addition to the standard uniaxial and biaxial nematic phases, the other nematic like phases are stabilized. These involve, among the others, tetrahedratic (T), nematic tetrahedratic (N T), and chiral nematic tetrahedratic (NT*) phases of global T d, D 2d, and D 2 symmetry, respectively. Molecular order parameters and correlation functions in these phases are determined. We conclude with generalizations of the model that give a simple molecular interpretation of macroscopic regions with opposite optical activity (ambidextrous chirality), observed, e.g., in bent-core systems. An estimate of the helical pitch in the NT* phase is also given. © 2012 American Physical Society.},\nkeywords={Biaxial nematic phasis;  Chiral nematics;  Correlation function;  Helical domains;  Helical pitch;  Lebwohl-Lasher models;  Macroscopic regions;  Mean field analysis;  Mesophases;  Microscopic interaction;  Molecular interpretation;  Molecular orders;  Monte Carlo Simulation;  Multicritical point;  Optical activity, Phase diagrams, Monte Carlo methods},\ncorrespondence_address1={Trojanowski, K.; Marian Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Production and distribution of aberrations in resting or cycling human lymphocytes following Fe-ion or Cr-ion irradiation: Emphasis on single track effects.\n \n \n \n \n\n\n \n Deperas-Standylo, J.; Lee, R.; Nasonova, E.; Ritter, S.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Advances in Space Research, 50(5): 584-597. 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Production$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Deperas-Standylo2012584,\nauthor={Deperas-Standylo, J. and Lee, R. and Nasonova, E. and Ritter, S. and Gudowska-Nowak, E.},\ntitle={Production and distribution of aberrations in resting or cycling human lymphocytes following Fe-ion or Cr-ion irradiation: Emphasis on single track effects},\njournal={Advances in Space Research},\nyear={2012},\nvolume={50},\nnumber={5},\npages={584-597},\ndoi={10.1016/j.asr.2012.05.007},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84863782933&doi=10.1016%2fj.asr.2012.05.007&partnerID=40&md5=736fe4c2ddfafd964c1ce73241a37c98},\nabstract={In the present study we examined the cytogenetic effects of 177 MeV/u Fe-ions (LET = 335 keV/μm) and 4.1 MeV/u Cr-ions (LET = 3160 keV/μm) in human lymphocytes under exposure conditions that result on average in one particle hit per cell nucleus. In non-cycling (G0-phase) lymphocytes the induction and the repair of excess fragments was measured by means of the premature chromosome condensation (PCC) technique and the distribution of breaks among cells was analysed. The PCC-data were further compared with those reported recently for stimulated lymphocytes at the first post-irradiation mitosis. Our experiments show that a single nuclear traversal by a Fe-ion produced more initial chromatin breakage than one Cr-ion, but after 24 h of repair the number of excess fragments/cell was similar for both ion species. All distributions of aberrations were overdispersed. For low energy Cr-ions, where the track radius is smaller than the radius of the cell nucleus, the data could be well described by a Neyman type A distribution. In contrast, the data obtained for high energy Fe-ions were fitted with a convoluted Poisson-Neyman distribution to account for the fact that the dose is deposited not only in the cell actually traversed but also in neighbouring cells. By applying metaphase analysis a different picture emerged with respect to the aberration yield, i.e. more aberrations were detected in cells exposed to Fe-ions than in those irradiated with Cr-ions. Yet, as observed for non-cycling lymphocytes all aberration distributions generated for metaphase cells were overdispersed. The obtained results are discussed with respect to differences in particle track structure. Additionally, the impact of confounding factors such as apoptosis that affect the number of aberrations expressed in a cell population is addressed. © 2012 COSPAR. Published by Elsevier Ltd. All rights reserved.},\nauthor_keywords={Chromosome aberrations;  Fe-ions;  Neyman type A distribution;  Premature chromosome condensation;  Radiation risk;  Statistical distribution of aberrations},\nkeywords={Cell culture;  Cell death;  Cell proliferation;  Chromosomes;  Condensation;  Ion bombardment;  Lymphocytes;  Poisson distribution;  Repair, Chromosome aberration;  Fe-ions;  Neyman type A distribution;  Premature chromosome condensations;  Radiation risk;  Statistical distribution of aberrations, Ions},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Fluctuation-dissipation relations under Lévy noises.\n \n \n \n \n\n\n \n Dybiec, B.; Parrondo, J.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n EPL, 98(5). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Fluctuation-dissipation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2012,\nauthor={Dybiec, B. and Parrondo, J.M.R. and Gudowska-Nowak, E.},\ntitle={Fluctuation-dissipation relations under Lévy noises},\njournal={EPL},\nyear={2012},\nvolume={98},\nnumber={5},\ndoi={10.1209/0295-5075/98/50006},\nart_number={50006},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84862536059&doi=10.1209%2f0295-5075%2f98%2f50006&partnerID=40&md5=881278993b79a3c46bc68f90ab943bc8},\nabstract={For systems close to equilibrium, the relaxation properties of measurable physical quantities are described by the linear response theory and the fluctuation-dissipation theorem (FDT). Accordingly, the response or the generalized susceptibility, which is a function of the unperturbed equilibrium system, can be related to the correlation between spontaneous fluctuations of a given conjugate variable. There have been several attempts to extend the FDT far from equilibrium, introducing new terms or using effective temperatures. Here, we discuss applicability of the generalized FDT to out-of-equilibrium systems perturbed by time-dependent deterministic forces and acting under the influence of white Lévy noise. For the linear and Gaussian case, the equilibrium correlation function provides a full description of the dynamic properties of the system. This is, however, no longer true for non-Gaussian Lévy noises, for which the second and sometimes also the first moments are divergent, indicating absence of underlying physical scales. This self-similar behavior of Lévy noises results in violation of the classical dissipation theorem for the stability index α<2. We show that by properly identifying appropriate variables conjugated to external perturbations and analyzing time-dependent distributions, the generalized FDT can be restored also for systems subject to Lévy noises. As a working example, we test the use of the generalized FDT for a linear system subject to Cauchy white noise. © 2012 Europhysics Letters Association.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Understanding disease control: Influence of epidemiological and economic factors.\n \n \n \n \n\n\n \n Oleś, K.; Gudowska-Nowak, E.; and Kleczkowski, A.\n\n\n \n\n\n\n PLoS ONE, 7(5). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Understanding$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Oles2012,\nauthor={Oleś, K. and Gudowska-Nowak, E. and Kleczkowski, A.},\ntitle={Understanding disease control: Influence of epidemiological and economic factors},\njournal={PLoS ONE},\nyear={2012},\nvolume={7},\nnumber={5},\ndoi={10.1371/journal.pone.0036026},\nart_number={e36026},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84860783754&doi=10.1371%2fjournal.pone.0036026&partnerID=40&md5=faad4e1c323c99ac7dfa71fac59c9283},\nabstract={We present a model of disease transmission on a regular and small world network and compare different control options. Comparison is based on a total cost of epidemic, including cost of palliative treatment of ill individuals and preventive cost aimed at vaccination or culling of susceptible individuals. Disease is characterized by pre-symptomatic phase, which makes detection and control difficult. Three general strategies emerge: global preventive treatment, local treatment within a neighborhood of certain size and only palliative treatment with no prevention. While the choice between the strategies depends on a relative cost of palliative and preventive treatment, the details of the local strategy and, in particular, the size of the optimal treatment neighborhood depend on the epidemiological factors. The required extent of prevention is proportional to the size of the infection neighborhood, but depends on time till detection and time till treatment in a non-nonlinear (power) law. The optimal size of control neighborhood is also highly sensitive to the relative cost, particularly for inefficient detection and control application. These results have important consequences for design of prevention strategies aiming at emerging diseases for which parameters are not nessecerly known in advance. © 2012 Oleś et al.},\nkeywords={article;  asymptomatic disease;  controlled study;  cost benefit analysis;  cost of illness;  disease control;  disease transmission;  economic aspect;  epidemiological data;  infection;  palliative therapy;  process model;  vaccination;  animal;  disease transmission;  economics;  epidemic;  human;  infection control;  methodology;  socioeconomics;  standard, Animals;  Communicable Disease Control;  Disease Transmission, Infectious;  Epidemics;  Humans;  Socioeconomic Factors},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Understanding operating principles and processivity of molecular motors.\n \n \n \n \n\n\n \n Lisowski, B.; Światek, M.; Zabicki, M.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica B, 43(5): 1073-1092. 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Understanding$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Lisowski20121073,\nauthor={Lisowski, B. and Światek, M. and Zabicki, M. and Gudowska-Nowak, E.},\ntitle={Understanding operating principles and processivity of molecular motors},\njournal={Acta Physica Polonica B},\nyear={2012},\nvolume={43},\nnumber={5},\npages={1073-1092},\ndoi={10.5506/APhysPolB.43.1073},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84861486735&doi=10.5506%2fAPhysPolB.43.1073&partnerID=40&md5=9f46431eb0eccd5b818af3520e7dbe84},\nabstract={Motor proteins, sometimes referred to as mechanoenzymes, are a group of proteins that maintain a large part of intracellular motion. Being enzymes, they undergo chemical reactions leading to energy conversion and changes of their conformation. Being mechanodevices, they use the chemical energy to perform mechanical work, leading to the phenomena of motion. Over the past 20 years a series of novel experiments (e.g. single molecule observations) has been performed to gain the deeper knowledge about chemical states of molecular motors as well as their dynamics in the presence or absence of an external force. At the same time, many theoretical models have been proposed, offering various insights into the nano-world dynamics. They can be divided into three main categories: mechanochemical models, ratchet models and molecular dynamics simulations. We demonstrate that by combining those complementary approaches a deeper understanding of the dynamics and chemistry of the motor proteins can be achieved. As a working example, we choose kinesin - a motor protein responsible for directed transport of organelles and vesicles along microtubule tracts.},\nkeywords={Chemical energy;  Chemical state;  Directed transport;  External force;  Kinesins;  Large parts;  Mechanical work;  Mechanochemicals;  Microtubules;  Molecular dynamics simulations;  Molecular motors;  Motor proteins;  Operating principles;  Processivity;  Ratchet models;  Single-molecule observation;  Theoretical models, Dynamics;  Energy conversion;  Linear motors;  Molecular dynamics, Proteins},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Searching for the most cost-effective strategy for controlling epidemics spreading on regular and small-world networks.\n \n \n \n \n\n\n \n Kleczkowski, A.; Oleś, K.; Gudowska-Nowak, E.; and Gilligan, C.\n\n\n \n\n\n\n Journal of the Royal Society Interface, 9(66): 158-169. 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Searching$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Kleczkowski2012158,\nauthor={Kleczkowski, A. and Oleś, K. and Gudowska-Nowak, E. and Gilligan, C.A.},\ntitle={Searching for the most cost-effective strategy for controlling epidemics spreading on regular and small-world networks},\njournal={Journal of the Royal Society Interface},\nyear={2012},\nvolume={9},\nnumber={66},\npages={158-169},\ndoi={10.1098/rsif.2011.0216},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-80052158848&doi=10.1098%2frsif.2011.0216&partnerID=40&md5=e5b82bfa550219da6ed8ed91c4712c0c},\nabstract={We present a combined epidemiological and economic model for control of diseases spreading on local and small-world networks. The disease is characterized by a pre-symptomatic infectious stage that makes detection and control of cases more difficult. The effectiveness of local (ring-vaccination or culling) and global control strategies is analysed by comparing the net present values of the combined cost of preventive treatment and illness. The optimal strategy is then selected by minimizing the total cost of the epidemic. We show that three main strategies emerge, with treating a large number of individuals (global strategy, GS), treating a small number of individuals in a well-defined neighbourhood of a detected case (local strategy) and allowing the disease to spread unchecked (null strategy, NS). The choice of the optimal strategy is governed mainly by a relative cost of palliative and preventive treatments. If the disease spreads within the well-defined neighbourhood, the local strategy is optimal unless the cost of a single vaccine is much higher than the cost associated with hospitalization. In the latter case, it is most cost-effective to refrain from prevention. Destruction of local correlations, either by long-range (small-world) links or by inclusion of many initial foci, expands the range of costs for which the NS is most cost-effective. The GS emerges for the case when the cost of prevention is much lower than the cost of treatment and there is a substantial non-local component in the disease spread. We also show that local treatment is only desirable if the disease spreads on a small-world network with sufficiently few long-range links; otherwise it is optimal to treat globally. In the mean-field case, there are only two optimal solutions, to treat all if the cost of the vaccine is low and to treat nobody if it is high. The basic reproduction ratio, R0, does not depend on the rate of responsive treatment in this case and the disease always invades (but might be stopped afterwards). The details of the local control strategy, and in particular the optimal size of the control neighbourhood, are determined by the epidemiology of the disease. The properties of the pathogen might not be known in advance for emerging diseases, but the broad choice of the strategy can be made based on economic analysis only. © 2011 The Royal Society.},\nauthor_keywords={Disease spread;  Epidemiological control;  Epidemiological modelling;  Stochastic modelling},\nkeywords={Cost effectiveness;  Costs;  Disease control;  Economic analysis;  Optimal systems;  Optimization, Disease spread;  Economic models;  Emerging disease;  Epidemiological modelling;  Global control strategies;  Global strategies;  Local control strategies;  Local correlations;  Local strategies;  Long-range links;  Mean-field;  Neighbourhood;  Net present value;  Nonlocal;  Optimal size;  Optimal solutions;  Optimal strategies;  Preventive treatments;  Small world networks;  Small worlds;  Stochastic modelling;  Total costs, Diseases, article;  cost effectiveness analysis;  cost of illness;  economic aspect;  epidemic;  infection sensitivity;  strategic planning},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n We present a combined epidemiological and economic model for control of diseases spreading on local and small-world networks. The disease is characterized by a pre-symptomatic infectious stage that makes detection and control of cases more difficult. The effectiveness of local (ring-vaccination or culling) and global control strategies is analysed by comparing the net present values of the combined cost of preventive treatment and illness. The optimal strategy is then selected by minimizing the total cost of the epidemic. We show that three main strategies emerge, with treating a large number of individuals (global strategy, GS), treating a small number of individuals in a well-defined neighbourhood of a detected case (local strategy) and allowing the disease to spread unchecked (null strategy, NS). The choice of the optimal strategy is governed mainly by a relative cost of palliative and preventive treatments. If the disease spreads within the well-defined neighbourhood, the local strategy is optimal unless the cost of a single vaccine is much higher than the cost associated with hospitalization. In the latter case, it is most cost-effective to refrain from prevention. Destruction of local correlations, either by long-range (small-world) links or by inclusion of many initial foci, expands the range of costs for which the NS is most cost-effective. The GS emerges for the case when the cost of prevention is much lower than the cost of treatment and there is a substantial non-local component in the disease spread. We also show that local treatment is only desirable if the disease spreads on a small-world network with sufficiently few long-range links; otherwise it is optimal to treat globally. In the mean-field case, there are only two optimal solutions, to treat all if the cost of the vaccine is low and to treat nobody if it is high. The basic reproduction ratio, R0, does not depend on the rate of responsive treatment in this case and the disease always invades (but might be stopped afterwards). The details of the local control strategy, and in particular the optimal size of the control neighbourhood, are determined by the epidemiology of the disease. The properties of the pathogen might not be known in advance for emerging diseases, but the broad choice of the strategy can be made based on economic analysis only. © 2011 The Royal Society.\n

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\n \n\n \n \n \n \n \n \n Modeling hysteresis observed in the human erythrocyte voltage-dependent cation channel.\n \n \n \n \n\n\n \n Flyvbjerg, H.; Gudowska-Nowak, E.; Christophersen, P.; and Bennekou, P.\n\n\n \n\n\n\n Acta Physica Polonica B, 43(11): 2117-2140. 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Modeling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Flyvbjerg20122117,\nauthor={Flyvbjerg, H. and Gudowska-Nowak, E. and Christophersen, P. and Bennekou, P.},\ntitle={Modeling hysteresis observed in the human erythrocyte voltage-dependent cation channel},\njournal={Acta Physica Polonica B},\nyear={2012},\nvolume={43},\nnumber={11},\npages={2117-2140},\ndoi={10.5506/APhysPolB.43.2117},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84872243946&doi=10.5506%2fAPhysPolB.43.2117&partnerID=40&md5=6e1e54bb3f9f971dd37badd88e0109e3},\nabstract={The non-selective voltage-activated cation channel from human red cells, which is activated at depolarizing potentials, has been shown to exhibit counter-clockwise gating hysteresis. Here, we analyze this phenomenon with the simplest possible phenomenological models. Specifically, the hysteresis cycle, including its direction, is reproduced by a model with 2×2 discrete states: the normal open/closed states and two different states of "gate tension". Rates of transitions between the two branches of the hysteresis curve are modeled with single-barrier kinetics by introducing a real-valued "reaction coordinate" parametrizing the protein's conformational change between the two states of gate tension. The resulting scenario suggests a reanalysis of former experiments with NSVDC channels.},\nkeywords={Positive ions;  Reaction rates, Cation channels;  Conformational change;  Counter-clockwise;  Human erythrocytes;  Hysteresis curve;  Hysteresis cycles;  Phenomenological models;  Reaction coordinates, Hysteresis},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Polymer unfolding and motion synchronization induced by spatially correlated noise.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(5). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Polymer$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Majka2012,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Polymer unfolding and motion synchronization induced by spatially correlated noise},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2012},\nvolume={86},\nnumber={5},\ndoi={10.1103/PhysRevE.86.051122},\nart_number={051122},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84870457422&doi=10.1103%2fPhysRevE.86.051122&partnerID=40&md5=8877d751c7357c36e2534f74d2edec74},\nabstract={The problem of a spatially correlated noise affecting a complex system is studied in this paper. We present a comprehensive analysis of a two-dimensional model polymer chain, driven by the spatially correlated Gaussian noise, for which we have varied the amplitude and the correlation length. The chain model is based on a bead-spring approach, enriched with a global Lennard-Jones potential and angular interactions. We show that spatial correlations in the noise inhibit the chain geometry dynamics, enhancing the preservation of the polymer shape. This is supported by the analysis of correlation functions of both the module length and angles between neighboring modules, which have been measured for the noise amplitude ranging over three orders of magnitude. Moreover, we have observed the correlation length dependent bead motion synchronization and the spontaneous polymer unfolding, resulting from an interplay between chain potentials and the spatially structured noise. © 2012 American Physical Society.},\nkeywords={Chain geometry;  Chain models;  Comprehensive analysis;  Correlated Gaussian noise;  Correlation function;  Correlation lengths;  Noise amplitude;  Polymer chains;  Spatial correlations;  Spatially correlated noise;  Structured noise;  Three orders of magnitude;  Two dimensional model, Gaussian noise (electronic);  Soil structure interactions, Polymers},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Polymer shape dynamics induced by spatially correlated noise.\n \n \n \n \n\n\n \n Majka, M.; and Góra, P.\n\n\n \n\n\n\n Acta Physica Polonica B, 43(5): 1133-1142. 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Polymer$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Majka20121133,\nauthor={Majka, M. and Góra, P.F.},\ntitle={Polymer shape dynamics induced by spatially correlated noise},\njournal={Acta Physica Polonica B},\nyear={2012},\nvolume={43},\nnumber={5},\npages={1133-1142},\ndoi={10.5506/APhysPolB.43.1133},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84861500881&doi=10.5506%2fAPhysPolB.43.1133&partnerID=40&md5=a9ec9fd884417c6f40c2b2d0b9e353ec},\nabstract={In this paper, we examine the influence of a spatially correlated noise on a 2D polymer-like particle. The molecule is modeled with harmonic potential for bonds and angular interactions and a global Lennard-Jones potential. We present a method for generating a spatially correlated noise if the time and spatial terms in the correlation function factorize. The dynamics of polymer's shape transformation process is investigated by means of Fourier analysis. An increase in correlation length results in the environmentally induced stiffening of the chain.},\nkeywords={Correlation function;  Correlation lengths;  Harmonic potential;  Shape dynamics;  Shape transformation;  Spatially correlated noise, Fourier analysis, Polymers},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Axelrod model with extended conservativeness.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n International Journal of Modern Physics C, 23(12). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Axelrod$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20120,\nauthor={Dybiec, B.},\ntitle={Axelrod model with extended conservativeness},\njournal={International Journal of Modern Physics C},\nyear={2012},\nvolume={23},\nnumber={12},\ndoi={10.1142/S0129183112500866},\nart_number={1250086},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84871376161&doi=10.1142%2fS0129183112500866&partnerID=40&md5=52f4ebbe9298bdf3e5f3a019c9a8828d},\nabstract={Similarity of opinions and memory about recent interactions are two main factors determining likelihood of social contacts. Here, we explore the Axelrod model with an extended conservativeness which incorporates not only similarity between individuals but also a preference to the last source of accepted information. The additional preference given to the last source of information increases the initial decay of the number of ideas in the system, changes the character of the phase transition between homogeneous and heterogeneous final states and could increase the number of stable regions (clusters) in the final state. © 2012 World Scientific Publishing Company.},\nauthor_keywords={Axelrod model;  extended conservativeness;  Social dynamics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Axelrod model: Accepting or discussing.\n \n \n \n \n\n\n \n Dybiec, B.; Mitarai, N.; and Sneppen, K.\n\n\n \n\n\n\n European Physical Journal B, 85(10). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Axelrod$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20121,\nauthor={Dybiec, B. and Mitarai, N. and Sneppen, K.},\ntitle={Axelrod model: Accepting or discussing},\njournal={European Physical Journal B},\nyear={2012},\nvolume={85},\nnumber={10},\ndoi={10.1140/epjb/e2012-30450-2},\nart_number={357},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84868313111&doi=10.1140%2fepjb%2fe2012-30450-2&partnerID=40&md5=92c9aa8774943b271d78b2138ad1f732},\nabstract={Agents building social systems are characterized by complex states, and interactions among individuals can align their opinions. The Axelrod model describes how local interactions can result in emergence of cultural domains. We propose two variants of the Axelrod model where local consensus is reached either by listening and accepting one of neighbors' opinion or two agents discuss their opinion and achieve an agreement with mixed opinions. We show that the local agreement rule affects the character of the transition between the single culture and the multiculture regimes. © 2012 EDP Sciences, Società Italiana di Fisica, Springer-Verlag.},\nkeywords={Local interactions;  Multiculture;  Social systems, Condensed matter physics, Physics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Information spreading and development of cultural centers.\n \n \n \n \n\n\n \n Dybiec, B.; Mitarai, N.; and Sneppen, K.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 85(5). 2012.\n \n\n\n\n
\n\n\n\n \n \n $\"Information$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20123,\nauthor={Dybiec, B. and Mitarai, N. and Sneppen, K.},\ntitle={Information spreading and development of cultural centers},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2012},\nvolume={85},\nnumber={5},\ndoi={10.1103/PhysRevE.85.056116},\nart_number={056116},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84861936890&doi=10.1103%2fPhysRevE.85.056116&partnerID=40&md5=3ccb2674f39e06596249a31daf93589d},\nabstract={The historical interplay between societies is governed by many factors, including in particular the spreading of languages, religion, and other symbolic traits. Cultural development, in turn, is coupled to the emergence and maintenance of information spreading. Strong centralized cultures exist due to attention from their members, whose faithfulness in turn relies on the supply of information. Here we discuss a culture evolution model on a planar geometry that takes into account aspects of the feedback between information spreading and its maintenance. Features of the model are highlighted by comparing it to cultural spreading in ancient and medieval Europe, where it suggests in particular that long-lived centers should be located in geographically remote regions. © 2012 American Physical Society.},\nkeywords={Cultural center;  Culture evolution;  Planar geometries;  Remote regions, Condensed matter physics;  Physics, Maintenance},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2011\n \n \n (13)\n \n \n

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\n \n\n \n \n \n \n \n \n Monte-Carlo simulations for model Bent-Core molecules with fluctuating opening angle.\n \n \n \n \n\n\n \n Józefowicz, W.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 545: 204-213. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Monte-Carlo$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Jozefowicz2011204,\nauthor={Józefowicz, W. and Longa, L.},\ntitle={Monte-Carlo simulations for model Bent-Core molecules with fluctuating opening angle},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2011},\nvolume={545},\npages={204-213},\ndoi={10.1080/15421406.2011.572014},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79960695435&doi=10.1080%2f15421406.2011.572014&partnerID=40&md5=c9cefe59c5863b9add9c38aeb36df9ed},\nabstract={We study the effect of fluctuations in opening angle of bent-core molecules on stability of the nematic phases. The molecules are built out of two Gay-Berne centers each corresponding to one of the molecular arms. Constant-pressure Monte Carlo (MC NPT) simulations are carried out for two versions of the model, with fixed- and fluctuating opening angle, where fluctuations are taken harmonic about the angle of 140. The phases found on cooling are uniaxial nematic, biaxial nematic and crystalline. On heating the biaxial nematic is superseded by the metastable crystalline phase. Copyright © Taylor & Francis Group, LLC.},\nauthor_keywords={Banana-shaped molecules;  biaxial nematic phase;  NPT Monte Carlo simulation},\nkeywords={Banana-shaped molecules;  Bent-core molecules;  Biaxial nematic phase;  Gay-Berne;  Metastable crystalline phase;  MONTE CARLO;  Monte Carlo Simulation;  Nematic phasis;  NPT Monte Carlo simulation;  Opening angle, Liquid crystals;  Molecules;  Monte Carlo methods, Computer simulation},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Kraków, Poland; email: lech.longa@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Landau-de gennes theory of thermotropic biaxial nematics: A role of fluctuations.\n \n \n \n \n\n\n \n Cieśla, M.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 545: 214-219. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Landau-de$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla2011214,\nauthor={Cieśla, M. and Longa, L.},\ntitle={Landau-de gennes theory of thermotropic biaxial nematics: A role of fluctuations},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2011},\nvolume={545},\npages={214-219},\ndoi={10.1080/15421406.2011.572017},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79960657291&doi=10.1080%2f15421406.2011.572017&partnerID=40&md5=c77ba712ab4eb1293e1a2ab069d900ef},\nabstract={We generalize the phenomenological Landau-de Gennes theory of biaxial nematics by including fluctuations of the tensor order parameter. Then, using real-space Monte Carlo simulations we study how these fluctuations affect relative stability of the isotropic phase, the uniaxial nematic phase and the biaxial nematic phase of D2h symmetry. Results are confronted with earlier predictions of Landau-de Gennes theory. Copyright © Taylor & Francis Group, LLC.},\nauthor_keywords={Fluctuations;  Landau-Ginzburg-de Gennes theory;  Monte Carlo simulation;  tensor order parameter;  thermotropic biaxial nematics},\nkeywords={Fluctuations;  Landau-Ginzburg-de Gennes theory;  Monte Carlo simulation;  tensor order parameter;  thermotropic biaxial nematics, Computer simulation;  Liquid crystals;  Tensors, Monte Carlo methods},\ncorrespondence_address1={Ciesla, M.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Kraków, Poland; email: michal.ciesla@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Generalized dispersion model of orientationally ordered phases of bent-core liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; and Paja̧k, G.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 541: 152-158. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Generalized$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa2011152,\nauthor={Longa, L. and Paja̧k, G.},\ntitle={Generalized dispersion model of orientationally ordered phases of bent-core liquid crystals},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2011},\nvolume={541},\npages={152-158},\ndoi={10.1080/15421406.2011.570200},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79960657289&doi=10.1080%2f15421406.2011.570200&partnerID=40&md5=2e0bd3ea4d96aa7981de8055934c7aba},\nabstract={Dual symmetry of recently introduced model with quadrupolar and octupolar microscopic interactions [L. Longa, G. Pajk, and T. Wydro, Phys. Rev. E 79, 040701(R) (2009)] is explored in the mean field approximation. Exemplary phase diagrams with new nematic-like phases are shown. Among them is the homogeneous chiral phase, predicted earlier by Landau theory [T. C. Lubensky, L. Radzihovsky, Phys. Rev. E 66, 031704 (2002)]. Copyright © Taylor \\& Francis Group, LLC.},\nauthor_keywords={Banana-shaped molecules;  chiral phase;  duality;  molecular theory;  octupolar interactions;  tetrahedral symmetry},\nkeywords={Banana-shaped molecules;  Chiral phase;  duality;  Molecular theory;  octupolar interactions;  Tetrahedral symmetry, Liquid crystals;  Phase diagrams, Crystal symmetry},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, Poland; email: lech.longa@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Biaxial nematic phase in model bent-core systems.\n \n \n \n \n\n\n \n Grzybowski, P.; and Longa, L.\n\n\n \n\n\n\n Physical Review Letters, 107(2). 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Biaxial$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Grzybowski2011,\nauthor={Grzybowski, P. and Longa, L.},\ntitle={Biaxial nematic phase in model bent-core systems},\njournal={Physical Review Letters},\nyear={2011},\nvolume={107},\nnumber={2},\ndoi={10.1103/PhysRevLett.107.027802},\nart_number={027802},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79961061743&doi=10.1103%2fPhysRevLett.107.027802&partnerID=40&md5=28378bb5dc9b6443d2472b1b77e1b55a},\nabstract={We determine the bifurcation phase diagrams with isotropic (I), uniaxial (NU) and biaxial (NB) nematic phases for model bent-core mesogens using Onsager-type theory. The molecules comprise two or three Gay-Berne interacting ellipsoids of uniaxial and biaxial shape and a transverse central dipole. The Landau point is found to turn into an I-NB line for the three-center model with a large dipole moment. For the biaxial ellipsoids, a line of Landau points is observed even in the absence of the dipoles. © 2011 American Physical Society.},\nkeywords={Biaxial nematic phase;  Gay-Berne;  Mesogens;  Nematic phasis, Phase diagrams, Nematic liquid crystals},\ncorrespondence_address1={Grzybowski, P.; Marian Smoluchowski Institute of Physics, Department of Statistical Physics, Jagellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Molecular Crystals and Liquid Crystals: Preface.\n \n \n \n \n\n\n \n Longa, L.; Marzec, M.; and Wróbel, S.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 540: vii. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Molecular$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa2011,\nauthor={Longa, L. and Marzec, M. and Wróbel, S.},\ntitle={Molecular Crystals and Liquid Crystals: Preface},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2011},\nvolume={540},\npages={vii},\ndoi={10.1080/15421406.2011.568890},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79959282586&doi=10.1080%2f15421406.2011.568890&partnerID=40&md5=a4d1861f8cd117505edc049a51941bc7},\ncorrespondence_address1={Longa, L.},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Theory of phase transitions of a biaxial nematogen in an external field.\n \n \n \n \n\n\n \n Trojanowski, K.; Allender, D.; Longa, L.; and Kuśmierz, Ł.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 540: 59-68. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Theory$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Trojanowski201159,\nauthor={Trojanowski, K. and Allender, D.W. and Longa, L. and Kuśmierz, Ł.},\ntitle={Theory of phase transitions of a biaxial nematogen in an external field},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2011},\nvolume={540},\npages={59-68},\ndoi={10.1080/15421406.2011.568329},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79959266798&doi=10.1080%2f15421406.2011.568329&partnerID=40&md5=92d2888fc1c549f565867843661c8fa4},\nabstract={Landau-de Gennes (LdeG) theory and a microscopic model of interacting quadrupolar tensors, also known as the dispersion model, are used to analyze the effect of an external field on a nematogenic liquid crystal material having the zero field phase sequence biaxial nematic-uniaxial nematic-isotropic liquid as temperature increases. Although both approaches give qualitatively the same results the dispersion model does not reproduce all features of the phenomenological phase diagrams. For example, the biaxial-uniaxial transition for positive uniaxial anisotropic susceptibility is found to shift with field to either higher or lower temperature, depending on the values of the coefficients in the LdeG expansion, while the molecular model shows only the first type of behavior. Copyright © Taylor & Francis Group, LLC.},\nauthor_keywords={Biaxial nematic;  Landau-de Gennes theory;  liquid crystal phase transitions;  molecular modeling},\nkeywords={Anisotropic susceptibilities;  Biaxial nematic;  Dispersion models;  External fields;  Landau-de Gennes theory;  liquid crystal phase transitions;  Microscopic models;  Molecular models;  Nematic-isotropic;  Nematogenic liquids;  Nematogens;  Phase sequence;  Temperature increase;  Zero fields, Dispersions;  Liquid crystals;  Molecular modeling;  Phase transitions, Phase diagrams},\ncorrespondence_address1={Allender, D. W.; Department of Physics, Liquid Crystal Institute, Kent State University, Kent, OH 44242, United States; email: dallende@kent.edu},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Influence of the finite precision on the simulations of discrete dynamical systems.\n \n \n \n \n\n\n \n Dias, S.; Longa, L.; and Curado, E.\n\n\n \n\n\n\n Communications in Nonlinear Science and Numerical Simulation, 16(3): 1574-1579. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Influence$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dias20111574,\nauthor={Dias, S.P. and Longa, L. and Curado, E.},\ntitle={Influence of the finite precision on the simulations of discrete dynamical systems},\njournal={Communications in Nonlinear Science and Numerical Simulation},\nyear={2011},\nvolume={16},\nnumber={3},\npages={1574-1579},\ndoi={10.1016/j.cnsns.2010.07.003},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77957361318&doi=10.1016%2fj.cnsns.2010.07.003&partnerID=40&md5=ff0fa5bfdc6da588ed0e6d6400665481},\nabstract={The effect of numerical precision on the mean distance and on the mean coalescence time between trajectories of two random maps was investigated. It was shown that mean coalescence time between trajectories can be used to characterize regions of the phase space of the maps. The mean coalescence time between trajectories scales as a power law as a function of the numerical precision of the calculations in the contracting and transitions regions of the maps. In the contracting regions the exponent of the power law is approximately one for both maps and it is approximately two in the transition regions for both maps. In the chaotic regions, the mean coalescence time between trajectories scales as an exponential law as a function of the numerical precision of the calculations for the maps. For both maps the exponents are of the same order of magnitude in the chaotic regions. © 2010 Elsevier B.V.},\nauthor_keywords={Noisy dynamical systems;  Numerical precision;  Simulations of discrete dynamical systems},\nkeywords={Chaotic regions;  Coalescence time;  Discrete dynamical systems;  Exponential law;  Finite precision;  Mean distances;  Noisy dynamical systems;  Numerical precision;  Order of magnitude;  Phase spaces;  Power law;  Random maps;  Transition regions, Coalescence;  Exponential functions;  Phase space methods;  Trajectories, Chaotic systems},\ncorrespondence_address1={Dias, S.P.; Instituto de Física, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília - DF, Brazil; email: sandra@cbpf.br},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic diffusion and stable noise-induced phenomena.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@BOOK{Dybiec201133,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Stochastic diffusion and stable noise-induced phenomena},\njournal={Fractional Dynamics: Recent Advances},\nyear={2011},\npages={33-50},\ndoi={10.1142/9789814340595_0002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84973165922&doi=10.1142%2f9789814340595_0002&partnerID=40&md5=3d26c7628cbe52b637b8a050b3f0dee1},\nabstract={We discuss ubiquity of noise effects generated in non-equilibrium systems driven by “stable” random forces interpreted as limit cases of pure jump stochastic processes. In particular, such an approach leads to a generalization of the common Brownian motion by a L’evy diffusion process. This chapter briefly analyzes common properties of the anomalous transport and investigates the asymptotic relations between properly scaled continuous time random walks (CTRW) and fractional Smoluchowski–Fokker–Planck equations. © 2012 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.},\nkeywords={Brownian movement;  Continuous time systems, Anomalous transport;  Common property;  Continuous-time random walk;  Diffusion process;  Noise-induced phenomena;  Nonequilibrium system;  Planck equation;  Stochastic diffusion, Stochastic systems},\ndocument_type={Book Chapter},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Shift of percolation thresholds for epidemic spread between static and dynamic small-world networks.\n \n \n \n \n\n\n \n Ochab, J.; and Góra, P.\n\n\n \n\n\n\n European Physical Journal B, 81(3): 373-379. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Shift$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ochab2011373,\nauthor={Ochab, J.K. and Góra, P.F.},\ntitle={Shift of percolation thresholds for epidemic spread between static and dynamic small-world networks},\njournal={European Physical Journal B},\nyear={2011},\nvolume={81},\nnumber={3},\npages={373-379},\ndoi={10.1140/epjb/e2011-10975-6},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79960048695&doi=10.1140%2fepjb%2fe2011-10975-6&partnerID=40&md5=2851b4a46079a84e3558cc4d930805f9},\nabstract={The study compares the epidemic spread on static and dynamic small-world networks. They are constructed as a 2-dimensional Newman and Watts model (500 × 500 square lattice with additional shortcuts), where the dynamics involves rewiring shortcuts in every time step of the epidemic spread. We assume susceptible-infectious-removed (SIR) model of the disease. We study the behaviour of the epidemic over the range of shortcut probability per underlying bond ø = 0-0.5. We calculate percolation thresholds for the epidemic outbreak, for which numerical results are checked against an approximate analytical model. We find a significant lowering of percolation thresholds on the dynamic network in the parameter range given. The result shows the behaviour of the epidemic on dynamic network is that of a static small world with the number of shortcuts increased by 20.7±1.4 \\%, while the overall qualitative behaviour stays the same. We derive corrections to the analytical model which account for the effect. For both dynamic and static small worlds we observe suppression of the average epidemic size dependence on network size in comparison with the finite-size scaling known for regular lattice. We also study the effect of dynamics for several rewiring rates relative to infectious period of the disease. © 2011 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},\nkeywords={Analytical model;  Dynamic network;  Epidemic spread;  Finite size scaling;  Infectious period;  Network size;  Numerical results;  ON dynamics;  Parameter range;  Percolation thresholds;  Regular lattice;  Size dependence;  Small world networks;  Small worlds;  Square lattices;  Static and dynamic;  Susceptible-infectious-removed models;  Time step, Behavioral research;  Computer simulation;  Mathematical models;  Models;  Percolation (computer storage);  Percolation (fluids);  Percolation (solid state);  Solvents, Epidemiology},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Relaxation to stationary states for anomalous diffusion.\n \n \n \n \n\n\n \n Dybiec, B.; Sokolov, I.; and Chechkin, A.\n\n\n \n\n\n\n Communications in Nonlinear Science and Numerical Simulation, 16(12): 4549-4557. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Relaxation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20114549,\nauthor={Dybiec, B. and Sokolov, I.M. and Chechkin, A.V.},\ntitle={Relaxation to stationary states for anomalous diffusion},\njournal={Communications in Nonlinear Science and Numerical Simulation},\nyear={2011},\nvolume={16},\nnumber={12},\npages={4549-4557},\ndoi={10.1016/j.cnsns.2011.05.011},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79960278713&doi=10.1016%2fj.cnsns.2011.05.011&partnerID=40&md5=5db8dab4f50af4f33bb7034c9ec56d78},\nabstract={The fractional Fokker-Planck-Smoluchowski equation serves as a standard description of the anomalous diffusion. Within a current presentation we study properties of stationary states of the fractional Fokker-Planck-Smoluchowski equation in bounding potentials with special attention to the way in which stationary states are approached. It is demonstrated that the shape of the stationary state depends on exponents characterizing the jump length distributions and the external potential. The convergence rate to the stationary state can be of the double power-law type and is determined solely by the subdiffusion parameter. © 2011 Elsevier B.V.},\nauthor_keywords={Anomalous diffusion;  Continuous time random walks;  Fractional Fokker-Planck-Smoluchowski equation;  Stochastic representation;  Subordination},\nkeywords={Anomalous diffusion;  Continuous time random walks;  Fractional Fokker-Planck-Smoluchowski equation;  Stochastic representations;  Subordination, Fokker Planck equation, Diffusion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Harmonic oscillator under Lévy noise: Unexpected properties in the phase space.\n \n \n \n \n\n\n \n Sokolov, I.; Ebeling, W.; and Dybiec, B.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 83(4). 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Harmonic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Sokolov2011,\nauthor={Sokolov, I.M. and Ebeling, W. and Dybiec, B.},\ntitle={Harmonic oscillator under Lévy noise: Unexpected properties in the phase space},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2011},\nvolume={83},\nnumber={4},\ndoi={10.1103/PhysRevE.83.041118},\nart_number={041118},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79961087824&doi=10.1103%2fPhysRevE.83.041118&partnerID=40&md5=9eddde374bf75a62f3191e7fd0c487ec},\nabstract={A harmonic oscillator under the influence of noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are independent random variables which are distributed according to the bivariate Gaussian distribution with elliptic level lines. The distribution of phase is homogeneous. None of these properties hold in the general Lévy case. Thus, the level lines of the joint probability density are not elliptic. The coordinate and the velocity of the oscillator are strongly dependent, and this dependence is quantified by introducing the corresponding parameter ("width deficit"). The distribution of the phase is inhomogeneous and highly nontrivial. © 2011 American Physical Society.},\nkeywords={Basic models;  Bivariate gaussian distributions;  Gaussian white noise;  Harmonic oscillators;  Joint probability;  Level lines;  Phase spaces;  Physical phenomena, Phase space methods;  Probability density function;  Random variables;  White noise, Oscillators (mechanical)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy ratchet in a weak noise limit: Theory and simulation.\n \n \n \n \n\n\n \n Pavlyukevich, I.; Dybiec, B.; Chechkin, A.; and Sokolov, I.\n\n\n \n\n\n\n European Physical Journal: Special Topics, 191(1): 223-237. 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Pavlyukevich2011223,\nauthor={Pavlyukevich, I. and Dybiec, B. and Chechkin, A.V. and Sokolov, I.M.},\ntitle={Lévy ratchet in a weak noise limit: Theory and simulation},\njournal={European Physical Journal: Special Topics},\nyear={2011},\nvolume={191},\nnumber={1},\npages={223-237},\ndoi={10.1140/epjst/e2010-01352-6},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79952036125&doi=10.1140%2fepjst%2fe2010-01352-6&partnerID=40&md5=c34d2c710eff7205c54cb8a56a1e3ce6},\nabstract={We study the motion of a particle in a time-independent periodic potential with broken mirror symmetry under action of a Lévy-stable noise (Lévy ratchet). We develop an analytical approach to the problem based on the asymptotic probabilistic method of decomposition proposed by P. Imkeller and I. Pavlyukevich [J. Phys. A 39, L237 (2006); Stoch. Proc. Appl. 116, 611 (2006)]. We derive analytical expressions for the quantities characterizing the particle's motion, namely for the splitting probabilities of the first escape from a single well, for the transition probabilities to other wells and for the probability current. We pay particular attention to the interplay between the asymmetry of the ratchet potential and the asymmetry (skewness) of the Lévy noise. Extensive numerical simulations demonstrate a good agreement with the analytical predictions for sufficiently small intensities of the Lévy noise driving the particle. © 2011 EDP Sciences and Springer.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic diffusion and stable noise-induced phenomena.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2011.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@BOOK{Dybiec201133,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Stochastic diffusion and stable noise-induced phenomena},\njournal={Fractional Dynamics: Recent Advances},\nyear={2011},\npages={33-50},\ndoi={10.1142/9789814340595_0002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84973165922&doi=10.1142%2f9789814340595_0002&partnerID=40&md5=3d26c7628cbe52b637b8a050b3f0dee1},\nabstract={We discuss ubiquity of noise effects generated in non-equilibrium systems driven by “stable” random forces interpreted as limit cases of pure jump stochastic processes. In particular, such an approach leads to a generalization of the common Brownian motion by a L’evy diffusion process. This chapter briefly analyzes common properties of the anomalous transport and investigates the asymptotic relations between properly scaled continuous time random walks (CTRW) and fractional Smoluchowski–Fokker–Planck equations. © 2012 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.},\nkeywords={Brownian movement;  Continuous time systems, Anomalous transport;  Common property;  Continuous-time random walk;  Diffusion process;  Noise-induced phenomena;  Nonequilibrium system;  Planck equation;  Stochastic diffusion, Stochastic systems},\ndocument_type={Book Chapter},\nsource={Scopus},\n}\n\n\n

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\n \n 2010\n \n \n (13)\n \n \n

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\n \n\n \n \n \n \n \n \n Excluded-volume short-range repulsive potential for tetrahedral molecules.\n \n \n \n \n\n\n \n Bisi, F.; Longa, L.; Pająk, G.; and Rosso, R.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 525: 12-28. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Excluded-volume$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Bisi201012,\nauthor={Bisi, F. and Longa, L. and Pająk, G. and Rosso, R.},\ntitle={Excluded-volume short-range repulsive potential for tetrahedral molecules},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2010},\nvolume={525},\npages={12-28},\ndoi={10.1080/15421401003795670},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77954686974&doi=10.1080%2f15421401003795670&partnerID=40&md5=c6375417f2015370d21cfff6144855e5},\nabstract={Tetrahedral symmetry in nematic liquid crystals has been studied for several years, since the seminal paper by Fel [1]. Amongst statistical theories of nematic liquid crystals, a molecular mean-field model has proven to be quite effective in predicting phase sequences for thermotropic biaxial nematic molecules endowed with D2h symmetry, as a function of the parameters entering their interaction potential [2,3]. This model has highlighted the role of a partially repulsive quadrupolar potential of mean torque in promoting condensed phases. It has been shown that the quadrupolar approximation to the excluded-volume interaction between hard spherocuboids can be written precisely as the superposition of two London interactions: one repulsive and one attractive [4]; furthermore, polar steric interactions have been shown to be capable of inducing orientationally ordered states possibly unexpected [5]. By adapting a numerical code available to the scientific community, we evaluate the analytical excluded volume function for non-convex tetrahedral molecules, modelled as chains of tangent hard spheres. Since this function is overly complicated, we expand it over a suitable set of Symmetry Adapted Wigner Functions (SAWFs). Copyright © Taylor \\& Francis Group, LLC.},\nauthor_keywords={Excluded volume;  nematic liquid crystal;  symmetry adapted;  tetrahedral symmetry;  Wigner rotation functions},\nkeywords={Condensed phasis;  Excluded volume;  Excluded-volume interactions;  Hard spheres;  Interaction potentials;  Mean field models;  Nematic molecules;  Numerical code;  Ordered state;  Phase sequence;  Repulsive potentials;  Scientific community;  Statistical theory;  Steric interactions;  Tetrahedral molecules;  Tetrahedral symmetry;  Wigner functions;  Wigner rotation, Crystals;  Liquid crystals;  Liquids;  Molecules;  Nematic liquid crystals;  Rotation;  Thermotropic liquid crystals, Crystal symmetry},\ncorrespondence_address1={Bisi, F.; Dipartimento di Matematica, CNISM, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy; email: fulvio.bisi@unipv.it},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Subordinated diffusion and continuous time random walk asymptotics.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Chaos, 20(4). 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Subordinated$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2010,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Subordinated diffusion and continuous time random walk asymptotics},\njournal={Chaos},\nyear={2010},\nvolume={20},\nnumber={4},\ndoi={10.1063/1.3522761},\nart_number={043129},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-78650687519&doi=10.1063%2f1.3522761&partnerID=40&md5=7d998a3140bed3f1a4c65d6531f370af},\nabstract={Anomalous transport is usually described either by models of continuous time random walks (CTRWs) or, otherwise, by fractional Fokker-Planck equations (FFPEs). The asymptotic relation between properly scaled CTRW and fractional diffusion process has been worked out via various approaches widely discussed in literature. Here, we focus on a correspondence between CTRWs and time and space fractional diffusion equation stemming from two different methods aimed to accurately approximate anomalous diffusion processes. One of them is the Monte Carlo simulation of uncoupled CTRW with a Lévy α-stable distribution of jumps in space and a one-parameter Mittag-Leffler distribution of waiting times. The other is based on a discretized form of a subordinated Langevin equation in which the physical time defined via the number of subsequent steps of motion is itself a random variable. Both approaches are tested for their numerical performance and verified with known analytical solutions for the Green function of a space-time fractional diffusion equation. The comparison demonstrates a trade off between precision of constructed solutions and computational costs. The method based on the subordinated Langevin equation leads to a higher accuracy of results, while the CTRW framework with a Mittag-Leffler distribution of waiting times provides efficiently an approximate fundamental solution to the FFPE and converges to the probability density function of the subordinated process in a long-time limit. © 2010 American Institute of Physics.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n The thermodynamic cycle of an entropy-driven stepper motor walking hand-over-hand.\n \n \n \n \n\n\n \n Żabicki, M.; Ebeling, W.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Chemical Physics, 375(2-3): 372-378. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"The$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Zabicki2010372,\nauthor={Żabicki, M. and Ebeling, W. and Gudowska-Nowak, E.},\ntitle={The thermodynamic cycle of an entropy-driven stepper motor walking hand-over-hand},\njournal={Chemical Physics},\nyear={2010},\nvolume={375},\nnumber={2-3},\npages={372-378},\ndoi={10.1016/j.chemphys.2010.06.003},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77957755264&doi=10.1016%2fj.chemphys.2010.06.003&partnerID=40&md5=6176f5a5a6495ca6e819cdc9ddc0d613},\nabstract={We develop a model of a kinesin motor based on an entropy-driven spring between the two heads of the stepper. The stepper is coupled to the energy depot which is reservoir of ATP. A Langevin equation for the motion of the two legs in a ratchet potential is analyzed by performing numerical simulations. It is documented that the model motor is able to work against a load force with an efficiency of about 10-30\\%. At a critical load force the motor stops to operate. © 2010 Elsevier B.V. All rights reserved.},\nauthor_keywords={Efficiency;  Kinesin;  Molecular motors;  Transport},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Random walkers versus random crowds: Diffusion of large matrices.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Janik, R.; Jurkiewicz, J.; Nowak, M.; and Wieczorek, W.\n\n\n \n\n\n\n Chemical Physics, 375(2-3): 380-385. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Random$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak2010380,\nauthor={Gudowska-Nowak, E. and Janik, R. and Jurkiewicz, J. and Nowak, M.A. and Wieczorek, W.},\ntitle={Random walkers versus random crowds: Diffusion of large matrices},\njournal={Chemical Physics},\nyear={2010},\nvolume={375},\nnumber={2-3},\npages={380-385},\ndoi={10.1016/j.chemphys.2010.06.002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77957755657&doi=10.1016%2fj.chemphys.2010.06.002&partnerID=40&md5=24ae8f7ad2110047f11bdb5f436f4a4f},\nabstract={We consider Brownian random walks of infinitely large matrices using the tools of free random variables calculus. We establish relations between stochastic evolution of hermitian and unitary ensembles. We point out that matrix-valued diffusion equation develops non-linear terms, responsible for such phenomena as shock-waves. We comment the connection between unitary matrix diffusion and two-dimensional Yang-Mills theory. Finally, we speculate on application of string model techniques to the problem of quantum transport, where infinite products of pseudounitary matrices play the major role. © 2010 Elsevier B.V. All rights reserved.},\nauthor_keywords={Burgers equation;  Free random variables;  Random matrices;  Stochastic diffusion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Time-course of aberrations and their distribution: Impact of LET and track structure.\n \n \n \n \n\n\n \n Deperas-Standylo, J.; Lee, R.; Ayriyan, A.; Nasonova, E.; Ritter, S.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n European Physical Journal D, 60(1): 93-99. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Time-course$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Deperas-Standylo201093,\nauthor={Deperas-Standylo, J. and Lee, R. and Ayriyan, A. and Nasonova, E. and Ritter, S. and Gudowska-Nowak, E.},\ntitle={Time-course of aberrations and their distribution: Impact of LET and track structure},\njournal={European Physical Journal D},\nyear={2010},\nvolume={60},\nnumber={1},\npages={93-99},\ndoi={10.1140/epjd/e2010-00155-y},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77958471625&doi=10.1140%2fepjd%2fe2010-00155-y&partnerID=40&md5=4b3eaad2588dc985beadf9cd57a35076},\nabstract={The biological response to high linear energy transfer (LET) radiation differs considerably from that to low LET radiation and this has been attributed to differences in the spatial energy deposition of both radiation qualities. In the case of X-rays the energy is deposited uniformly within the cell nucleus and produces damages in a purely stochastic manner. In contrast, for particles the energy is deposited inhomogeneously along the ion trajectory and the local dose decays with the square radial distance from the center of the track. This nonuniformity affects the yield and the distribution of aberrations among cells. Moreover, after high LET exposure a relationship between the aberration yield and cell cycle delay was observed. In this study, we present a detailed analysis of the distribution of aberrations in human lymphocytes reaching mitosis at early and later times after low and high LET exposure. Aberration data were fit to stochastic distributions demonstrating that the delay is related to the number of particle traversals per cell nucleus. To further elucidate this relationship, we introduce a Monte Carlo phenomenological model which incorporates the number of particle hits per nucleus. This value was derived by fitting theoretical distributions to the experimental data. Additionally, the probability that a cell traversed by a particle reaches mitosis at a given time was calculated. The analysis of biological data and numerical simulations clearly show the impact of the track structure on the formation of chromosome aberrations and their distribution among cells. © 2010 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n The efficiency of energy conversion for an entropy driven stepper motor walking Hand-over-hand.\n \n \n \n \n\n\n \n Zabicki, M.; Gudowska-Nowak, E.; and Ebeling, W.\n\n\n \n\n\n\n Acta Physica Polonica B, 41(5): 1181-1189. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"The$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Zabicki20101181,\nauthor={Zabicki, M. and Gudowska-Nowak, E. and Ebeling, W.},\ntitle={The efficiency of energy conversion for an entropy driven stepper motor walking Hand-over-hand},\njournal={Acta Physica Polonica B},\nyear={2010},\nvolume={41},\nnumber={5},\npages={1181-1189},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77954993958&partnerID=40&md5=1910e88e71d61e92a1d2063e25a89129},\nabstract={Molecular engines are nano-scale machines operating under far-fromequilibrium conditions. In living cells they transform chemical energy into mechanical work while acting under randomly fluctuating forces in the form of thermal noise. In this paper we discuss a previously introduced model of a stepper motor [M. Zabicki, E. Gudowska-Nowak, W. Ebeling, Chem. Phys. in press], which is able to drive the system uphill at the cost of the energy inflow from an energy reservoir. The efficiency of the motor is defined as the ratio of the power exerted in the uphill motion with respect to the energy influx from the depot. We analyze the efficiency of this system by adapting the motor model in which only the internal motion includes inertia, whereas the motion of its center of mass becomes overdamped. Based on the numerical simulations of the center of mass trajectories and analysis of directed fluxes of motor particles moving along a one-dimensional track, we derive thermodynamic estimates of the motor efficiency as a function of the opposing force.},\nkeywords={Center of mass;  Chemical energy;  Energy influx;  Energy reservoirs;  Fluctuating forces;  Internal motion;  Living cell;  Mechanical work;  Motor efficiencies;  Motor models;  Motor particles;  Nano-scale machines;  Numerical simulation;  Stepper motor;  Uphill motion, Computer simulation;  Energy conversion;  Physics;  Stepping motors;  Wavelet transforms, Flight dynamics},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Synchronization of coupled oscillators in a local one-dimensional Kuramoto model.\n \n \n \n \n\n\n \n Ochab, J.; and Góra, P.\n\n\n \n\n\n\n Acta Physica Polonica B, Proceedings Supplement, 3(2): 453-462. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Synchronization$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ochab2010453,\nauthor={Ochab, J. and Góra, P.F.},\ntitle={Synchronization of coupled oscillators in a local one-dimensional Kuramoto model},\njournal={Acta Physica Polonica B, Proceedings Supplement},\nyear={2010},\nvolume={3},\nnumber={2},\npages={453-462},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-78651584149&partnerID=40&md5=397f01062c471294b7842b45ba1ee646},\nabstract={A modified Kuramoto model of synchronization in a finite discrete system of locally coupled oscillators is studied. The model consists of N oscillators with random natural frequencies arranged on a ring. It is shown analytically and numerically that finite-size systems may have many different synchronized stable solutions which are characterised by different values of the winding number. The lower bound for the critical coupling kc is given, as well as an algorithm for its exact calculation. It is shown that in general phase-locking does not lead to phase coherence in 1D.},\nkeywords={Coupled oscillators;  Critical coupling;  Discrete systems;  Exact calculations;  Finite-size systems;  Kuramoto models;  Lower bounds;  Phase coherence;  Phase-locking;  Stable solutions;  Winding number, Oscillators (mechanical);  Synchronization, Oscillators (electronic)},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape from the potential well: Competition between long jumps and long waiting times.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Journal of Chemical Physics, 133(24). 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20101,\nauthor={Dybiec, B.},\ntitle={Escape from the potential well: Competition between long jumps and long waiting times},\njournal={Journal of Chemical Physics},\nyear={2010},\nvolume={133},\nnumber={24},\ndoi={10.1063/1.3511722},\nart_number={244114},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-78650922890&doi=10.1063%2f1.3511722&partnerID=40&md5=d52da0e5b122b46e9c6dc9f7c68c6522},\nabstract={Within a concept of the fractional diffusion equation and subordination, the paper examines the influence of a competition between long waiting times and long jumps on the escape from the potential well. Applying analytical arguments and numerical methods, we demonstrate that the presence of long waiting times distributed according to a power-law distribution with a diverging mean leads to very general asymptotic properties of the survival probability. The observed survival probability asymptotically decays like a power law whose form is not affected by the value of the exponent characterizing the power law jump length distribution. It is demonstrated that this behavior is typical of and generic for systems exhibiting long waiting times. We also show that the survival probability has a universal character not only asymptotically, but also at small times. Finally, it is indicated which properties of the first passage time density are sensitive to the exact value of the exponent characterizing the jump length distribution. © 2010 American Institute of Physics.},\nkeywords={Asymptotic properties;  First-passage-time density;  Fractional diffusion equation;  Jump length;  Potential wells;  Power law;  Power law distribution;  Survival probabilities;  Waiting time, Asymptotic analysis;  Competition;  Numerical methods, Probability distributions},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Universal character of escape kinetics from finite intervals.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Acta Physica Polonica B, 41(5): 1127-1134. 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Universal$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20101127,\nauthor={Dybiec, B.},\ntitle={Universal character of escape kinetics from finite intervals},\njournal={Acta Physica Polonica B},\nyear={2010},\nvolume={41},\nnumber={5},\npages={1127-1134},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77954994775&partnerID=40&md5=79a5174d84327b94ffa2a614444e2f3a},\nabstract={We study a motion of an anomalous random walker on finite intervals restricted by two absorbing boundaries. The competition between anomalously long jumps and long waiting times leads to a very general kind of behavior. Trapping events distributed according to the power-law distribution result in occurrence of the Mittag-Leffler decay pattern which in turn is responsible for universal asymptotic properties of escape kinetics. The presence of long jumps which can be distributed according to nonsymmetric heavy tailed distributions does not affect asymptotic properties of the survival probability. Therefore, the probability of finding a random walker within a domain of motion decays asymptotically according to the universal pattern derived from the Mittag-Leffler function, which describes decay of single modes in subdiffusive dynamics.},\nkeywords={Absorbing boundaries;  Asymptotic properties;  Decay patterns;  Domain of motion;  Finite intervals;  Heavy-tailed distribution;  Mittag-Leffler functions;  Nonsymmetric;  Power law distribution;  Random walkers;  Single mode;  Survival probabilities;  Waiting time, Asymptotic analysis;  Physics;  Probability density function, Probability distributions},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Suppressing anomalous diffusion by cooperation.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and Theoretical, 43(31). 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Suppressing$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20102,\nauthor={Dybiec, B.},\ntitle={Suppressing anomalous diffusion by cooperation},\njournal={Journal of Physics A: Mathematical and Theoretical},\nyear={2010},\nvolume={43},\nnumber={31},\ndoi={10.1088/1751-8113/43/31/312001},\nart_number={312001},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84899731966&doi=10.1088%2f1751-8113%2f43%2f31%2f312001&partnerID=40&md5=2ceebbadbb1ad7e55a2cac27306cc49f},\nabstract={Within a continuous time random walk scenario we consider a motion of a complex of particles which moves coherently. The motion of every particle is characterized by the waiting time and jump length distributions which are of the power-law type. Due to the interactions between particles it is assumed that the waiting time is adjusted to the shortest or to the longest waiting time. Analogously, the jump length is adjusted to the shortest or to the longest jump length. We show that adjustment to the shortest waiting time can suppress the subdiffusive behavior even in situations when the exponent characterizing the waiting time distribution assures subdiffusive motion of a single particle. Finally, we demonstrate that the characteristic of the motion depends on the number of particles building a complex. © 2010 IOP Publishing Ltd.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stationary states in single-well potentials under symmetric Lévy noises.\n \n \n \n \n\n\n \n Dybiec, B.; Sokolov, I.; and Chechkin, A.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2010(7). 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Stationary$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20103,\nauthor={Dybiec, B. and Sokolov, I.M. and Chechkin, A.V.},\ntitle={Stationary states in single-well potentials under symmetric Lévy noises},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2010},\nvolume={2010},\nnumber={7},\ndoi={10.1088/1742-5468/2010/07/P07008},\nart_number={P07008},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77957046287&doi=10.1088%2f1742-5468%2f2010%2f07%2fP07008&partnerID=40&md5=3fcaa5b0be3b66d45e35ec7a9f22e5f3},\nabstract={We discuss the existence of stationary states for subharmonic potentials V(x) ∝ |x|c, c \\&lt; 2, under the action of symmetric α-stable noises. We show analytically that the necessary condition for the existence of the steady state is c \\&gt; 2 - α. Consequently, for harmonic (c = 2) and superharmonic potentials (c \\&gt; 2) driven by any α-stable noise, steady states always exist. Stationary states are characterized by probability density functions P(x) ∝ x-(c+α-1) for |x| → ∞ having a lighter tail than the noise distribution for superharmonic potentials (c \\&gt; 2) and a heavier tail than the noise distribution for subharmonic ones. Monte Carlo simulations confirm the existence of such stationary states and the form of the tails of the corresponding probability densities. © 2010 IOP Publishing Ltd and SISSA.},\nauthor_keywords={Stationary states;  Stochastic particle dynamics (theory);  Stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Approaching stationarity: Competition between long jumps and long waiting times.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2010(3). 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Approaching$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20104,\nauthor={Dybiec, B.},\ntitle={Approaching stationarity: Competition between long jumps and long waiting times},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2010},\nvolume={2010},\nnumber={3},\ndoi={10.1088/1742-5468/2010/03/P03019},\nart_number={P03019},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-77950208654&doi=10.1088%2f1742-5468%2f2010%2f03%2fP03019&partnerID=40&md5=07ebc70255f1381f828c12687f8277ef},\nabstract={Within the continuous-time random walk (CTRW) scenarios, properties of the overall motion are determined by the waiting time and the jump length distributions. In the decoupled case, with power-law distributed waiting times and jump lengths, the CTRW scenario is asymptotically described by the double (space and time) fractional Fokker-Planck equation. Properties of a system described by such an equation are determined by the subdiffusion parameter and the jump length exponent. Nevertheless, the stationary state is determined solely by the jump length distribution and the potential. The waiting time distribution determines only the rate of convergence to the stationary state. Here, we inspect the competition between long waiting times and long jumps and how this competition is reflected in the way in which a stationary state is reached. In particular, we show that the distance between a time-dependent and a stationary solution changes in time as a double power law. © 2010 IOP Publishing Ltd and SISSA.},\nauthor_keywords={Diffusion;  Stochastic particle dynamics (theory);  Stochastic processes (experiment);  Stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Anomalous diffusion on finite intervals.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2010(1). 2010.\n \n\n\n\n
\n\n\n\n \n \n $\"Anomalous$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20105,\nauthor={Dybiec, B.},\ntitle={Anomalous diffusion on finite intervals},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2010},\nvolume={2010},\nnumber={1},\ndoi={10.1088/1742-5468/2010/01/P01011},\nart_number={P01011},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-76149091580&doi=10.1088%2f1742-5468%2f2010%2f01%2fP01011&partnerID=40&md5=11ce21a9269f81a96fe08d5bc31fc468},\nabstract={We study the properties of anomalous diffusion on finite intervals. The process studied due to the presence of trapping events and long jumps is described by a double-fractional (time and space) Fokker-Planck equation. The properties of the overall process are affected not only by long waiting times and long jumps but also by boundaries. Special attention is given to the examination of the survival probability and the first-passage-time density. Using analytical arguments and numerical methods, we show that the asymptotic form of the survival probability is determined by the trapping process. For a special choice of parameters, we compare numerical results with theoretical formulae, demonstrating that numerical solutions constructed by subordination methods reconstruct known analytical results very well. Finally, we show that the power-law distribution of waiting times is responsible for the divergence of the mean first-passage time even for a power-law distribution of jump lengths. © 2010 IOP Publishing Ltd.},\nauthor_keywords={Stochastic particle dynamics (theory);  Stochastic processes (experiment);  Stochastic processes (theory);  Transport properties (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2009\n \n \n (22)\n \n \n

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\n \n\n \n \n \n \n \n \n Chiral symmetry breaking in bent-core liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Paja̧k, G.; and Wydro, T.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 79(4). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Chiral$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa2009,\nauthor={Longa, L. and Paja̧k, G. and Wydro, T.},\ntitle={Chiral symmetry breaking in bent-core liquid crystals},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2009},\nvolume={79},\nnumber={4},\ndoi={10.1103/PhysRevE.79.040701},\nart_number={040701},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-66349121375&doi=10.1103%2fPhysRevE.79.040701&partnerID=40&md5=354f4c52e1e82d4f9f595d1760c21bbe},\nabstract={By molecular modeling we demonstrate that the nematic long-range order discovered in bent-core liquid-crystal systems should reveal further spatially homogeneous phases. Two of them are identified as a tetrahedratic nematic (NT) phase with D2d symmetry and a chiral tetrahedratic nematic (NT) phase with D2 symmetry. These phases were found for a lattice model with quadrupolar and octupolar anisotropic interactions using mean-field theory and Monte Carlo simulations. The phase diagrams exhibit tetrahedratic (T), NT, and NT phases, in addition to ordinary isotropic (I), uniaxial nematic (NU), and biaxial nematic (NB) phases. © 2009 The American Physical Society.},\nkeywords={Anisotropic interaction;  Bent-core liquid crystals;  Chiral symmetry;  Core liquids;  Crystal system;  Homogeneous phasis;  Lattice models;  Long range orders;  Monte Carlo Simulation, Light sources;  Liquid crystals;  Mean field theory;  Monte Carlo methods;  Phase diagrams, Crystal symmetry},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, Poland; email: lech.longa@uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Discriminating between normal and anomalous random walks.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(6). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Discriminating$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20090,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Discriminating between normal and anomalous random walks},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2009},\nvolume={80},\nnumber={6},\ndoi={10.1103/PhysRevE.80.061122},\nart_number={061122},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-73649088995&doi=10.1103%2fPhysRevE.80.061122&partnerID=40&md5=f991688d67bc1d9a4c49776373936698},\nabstract={Commonly, normal diffusive behavior is characterized by a linear dependence of the second central moment on time, x2 (t) t, while anomalous behavior is expected to show a different time dependence, x2 (t) tδ with δ<1 for subdiffusive and δ>1 for superdiffusive motions. Here we explore in details the fact that this kind of qualification, if applied straightforwardly, may be misleading: there are anomalous transport motions revealing perfectly "normal" diffusive character (x2 (t) t) yet being non-Markov and non-Gaussian in nature. We use recently developed framework of Monte Carlo simulations which incorporates anomalous diffusion statistics in time and space and creates trajectories of such an extended random walk. For special choice of stability indices describing statistics of waiting times and jump lengths, the ensemble analysis of anomalous diffusion is shown to hide temporal memory effects which can be properly detected only by examination of formal criteria of Markovianity (fulfillment of the Chapman-Kolmogorov equation). © 2009 The American Physical Society.},\nkeywords={Anomalous behavior;  Anomalous diffusion;  Anomalous transport;  Central moments;  Chapman-Kolmogorov equation;  Diffusive behavior;  Jump length;  Linear dependence;  Monte Carlo Simulation;  Non-Gaussian;  ON time;  Random Walk;  Stability indices;  Temporal memory;  Time and space;  Time dependence;  Waiting time, Computational complexity;  Computer simulation;  Monte Carlo methods;  Special effects;  Stability criteria, Equations of motion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Proton transfer studies in CGC+ assembly.\n \n \n \n \n\n\n \n Zabicki, M.; Gudowska-Nowak, E.; and Fischer, S.\n\n\n \n\n\n\n Physics Letters, Section A: General, Atomic and Solid State Physics, 374(1): 50-54. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Proton$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Zabicki200950,\nauthor={Zabicki, M. and Gudowska-Nowak, E. and Fischer, S.F.},\ntitle={Proton transfer studies in CGC+ assembly},\njournal={Physics Letters, Section A: General, Atomic and Solid State Physics},\nyear={2009},\nvolume={374},\nnumber={1},\npages={50-54},\ndoi={10.1016/j.physleta.2009.10.010},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-71949103796&doi=10.1016%2fj.physleta.2009.10.010&partnerID=40&md5=4ff886fb28667f184cff7dca08c52bbe},\nabstract={We have designed and analyzed a molecular model of a generic triple helix DNA base structure - the cytosine-guanine-cytosine (CGC+) assembly. The complex has been investigated for the ability of a concerted proton transfer from cytosine to guanine. Ab initio calculations have been preformed using Unrestricted Hartree-Fock (UHF) method with 6-31G*+ basis set. In order to determine possible reaction paths, the potential map has been constructed pointing the most stable configuration for the process to occur. Based on this observation, we have estimated a transmission coefficient for the transfer and found no support for a concerted motion. The effect of fluctuations of the barrier height on the kinetics is also discussed. © 2009 Elsevier B.V. All rights reserved.},\nauthor_keywords={DNA;  Proton transfer;  Reaction rate;  Transmission coefficient},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Dynamics of individuals and swarms with shot noise induced by stochastic food supply.\n \n \n \n \n\n\n \n Strefler, J.; Ebeling, W.; Gudowska-Nowak, E.; and Schimansky-Geier, L.\n\n\n \n\n\n\n European Physical Journal B, 72(4): 597-606. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Dynamics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Strefler2009597,\nauthor={Strefler, J. and Ebeling, W. and Gudowska-Nowak, E. and Schimansky-Geier, L.},\ntitle={Dynamics of individuals and swarms with shot noise induced by stochastic food supply},\njournal={European Physical Journal B},\nyear={2009},\nvolume={72},\nnumber={4},\npages={597-606},\ndoi={10.1140/epjb/e2009-00408-8},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-72449141132&doi=10.1140%2fepjb%2fe2009-00408-8&partnerID=40&md5=433e4f160b11d04535fa9807ce0c1081},\nabstract={We study the Brownian dynamics of individual particles with energy depot in two dimensions and extend the model to swarms of such particles. We assume that the elements (energy depots) are provided at discrete times with packets of chemical energy which is subsequently converted into acceleration of motion. In contrast to the mechanical white noise which is incorporated in the equations of mechanical motion and has no preferred direction, the energetic noise, as discussed in this study, is directed and it does not reverse the direction of mechanical motion. We characterize the effective noise acting on the particles and show that the stochastic energy supply may be modeled as a shot-noise driven Ornstein-Uhlenbeck process in energy which finally results in fluctuations of the velocity. We study the energy and velocity distributions for different regimes and estimate the crossover time from ballistic to diffusion motion. Further we investigate the dynamics of swarms and find a transition from translational to rotational motion depending on the rate of the shot noise. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},\nkeywords={Brownian Dynamics;  Chemical energy;  Diffusion motion;  Energy supplies;  Individual particles;  Mechanical motions;  Ornstein-Uhlenbeck process;  Rotational motion;  Two-dimension, Agriculture;  Brownian movement;  Chemical elements;  Dynamics;  Equations of motion;  Food supply;  Shot noise;  Stochastic systems, Time and motion study},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy stable noise-induced transitions: Stochastic resonance, resonant activation and dynamic hysteresis.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2009(5). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20091,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Lévy stable noise-induced transitions: Stochastic resonance, resonant activation and dynamic hysteresis},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2009},\nvolume={2009},\nnumber={5},\ndoi={10.1088/1742-5468/2009/05/P05004},\nart_number={P05004},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-71049118140&doi=10.1088%2f1742-5468%2f2009%2f05%2fP05004&partnerID=40&md5=e4abda5d8879ea60fb6f886d912a1919},\nabstract={A standard approach to analysis of noise-induced effects in stochastic dynamics assumes a Gaussian character of the noise term describing interaction of the analyzed system with its complex surroundings. An additional assumption about the existence of timescale separation between the dynamics of the measured observable and the typical timescale of the noise allows external fluctuations to be modeled as temporally uncorrelated and therefore white. However, in many natural phenomena the assumptions concerning the above mentioned properties of 'Gaussianity' and 'whiteness' of the noise can be violated. In this context, in contrast to the spatiotemporal coupling characterizing general forms of non-Markovian or semi-Markovian Lévy walks, so called Lévy flights correspond to the class of Markov processes which can still be interpreted as white, but distributed according to a more general, infinitely divisible, stable and non-Gaussian law. Lévy noise-driven non-equilibrium systems are known to manifest interesting physical properties and have been addressed in various scenarios of physical transport exhibiting a superdiffusive behavior. Here we present a brief overview of our recent investigations aimed at understanding features of stochastic dynamics under the influence of Lévy white noise perturbations. We find that the archetypal phenomena of noise-induced ordering are robust and can be detected also in systems driven by memoryless, non-Gaussian, heavy-tailed fluctuations with infinite variance. © 2009 IOP Publishing Ltd.},\nauthor_keywords={Driven diffusive systems (theory);  Stochastic particle dynamics(theory);  Stochastic processes (theory);  Transport processes/heat transfer (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Anomalous diffusion and generalized Sparre Andersen scaling.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n EPL, 88(1). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Anomalous$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20093,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Anomalous diffusion and generalized Sparre Andersen scaling},\njournal={EPL},\nyear={2009},\nvolume={88},\nnumber={1},\ndoi={10.1209/0295-5075/88/10003},\nart_number={10003},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-73649101890&doi=10.1209%2f0295-5075%2f88%2f10003&partnerID=40&md5=417c87631b89b3c4c75324a6f91b9f34},\nabstract={We are discussing the long-time scaling limit for the anomalous diffusion composed of the subordinated Lévy-Wiener process. The limiting anomalous diffusion is in general non-Markov, even in the regime, where ensemble averages of a mean-square displacement or quantiles representing the group spread of the distribution follow the scaling characteristic for an ordinary stochastic diffusion. To discriminate between a truly memory-less process and the non-Markov one, we are analyzing the deviation of the survival probability from the (standard) Sparre Andersen scaling. Copyright © 2009 EPLA.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Modeling radiation-induced cell cycle delays.\n \n \n \n \n\n\n \n Ochab-Marcinek, A.; Gudowska-Nowak, E.; Nasonova, E.; and Ritter, S.\n\n\n \n\n\n\n Radiation and Environmental Biophysics, 48(4): 361-370. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Modeling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ochab-Marcinek2009361,\nauthor={Ochab-Marcinek, A. and Gudowska-Nowak, E. and Nasonova, E. and Ritter, S.},\ntitle={Modeling radiation-induced cell cycle delays},\njournal={Radiation and Environmental Biophysics},\nyear={2009},\nvolume={48},\nnumber={4},\npages={361-370},\ndoi={10.1007/s00411-009-0239-7},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-70350599674&doi=10.1007%2fs00411-009-0239-7&partnerID=40&md5=4d5842e3faa6728ea4a0435679cd34a1},\nabstract={Ionizing radiation is known to delay the cell cycle progression. In particular after particle exposure significant delays have been observed and it has been shown that the extent of delay affects the expression of damage, such as chromosome aberrations. Thus, to predict how cells respond to ionizing radiation and to derive reliable estimates of radiation risks, information about radiation-induced cell cycle perturbations is required. In the present study we describe and apply a method for retrieval of information about the time-course of all cell cycle phases from experimental data on the mitotic index only. We study the progression of mammalian cells through the cell cycle after exposure. The analysis reveals a prolonged block of damaged cells in the G2 phase. Furthermore, by performing an error analysis on simulated data valuable information for the design of experimental studies has been obtained. The analysis showed that the number of cells analyzed in an experimental sample should be at least 100 to obtain a relative error <20\\%. © 2009 Springer-Verlag.},\nkeywords={Cell cycle;  Cell-cycle progression;  Chromosome aberration;  Damaged cells;  Experimental data;  Experimental studies;  Mammalian cells;  Mitotic index;  Radiation risk;  Radiation-induced;  Relative errors;  Reliable estimates;  Simulated data, Cell membranes;  Error analysis;  Ionizing radiation;  Mammals;  Radiation shielding;  Radioactivity, Bioinformatics, animal cell;  article;  cell cycle arrest;  cell cycle phase;  cell cycle progression;  cell cycle regulation;  cell damage;  controlled study;  experimental study;  ionizing radiation;  mammal cell;  mitosis index;  nonhuman;  radiation exposure;  radiation hazard, Algorithms;  Animals;  Argon;  Cell Cycle;  Cell Line;  Computer Simulation;  Cricetinae;  Cricetulus;  Ions;  Kinetics;  Mitosis;  Models, Biological;  Probability;  Radiation, Ionizing, Mammalia},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Distribution of DNA fragment sizes after irradiation with ions.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Psonka-Antończyk, K.; Weron, K.; Elsässer, T.; and Taucher-Scholz, G.\n\n\n \n\n\n\n European Physical Journal E, 30(3): 317-324. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Distribution$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak2009317,\nauthor={Gudowska-Nowak, E. and Psonka-Antończyk, K. and Weron, K. and Elsässer, T. and Taucher-Scholz, G.},\ntitle={Distribution of DNA fragment sizes after irradiation with ions},\njournal={European Physical Journal E},\nyear={2009},\nvolume={30},\nnumber={3},\npages={317-324},\ndoi={10.1140/epje/i2009-10522-7},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-72549112819&doi=10.1140%2fepje%2fi2009-10522-7&partnerID=40&md5=48afd169260d475c0315d550dcf2a2a5},\nabstract={Ionizing radiation is responsible for production of double-strand breaks (DSBs) in a DNA structure. In contrast to sparsely ionizing radiation, densely ionizing radiation produces DSBs that are non-randomly distributed along the DNA molecule and can form clusters of various size. The paper discusses minimalistic models that describe observable patterns of fragment length in DNA segments irradiated with heavy ions and applies the formalism to interpret the recent experimental data collected by use of atomic force microscope (AFM). © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},\nkeywords={Atomic force microscopes;  Densely ionizing radiation;  DNA fragment;  DNA molecules;  DNA segments;  DNA structure;  Double-strand breaks;  Experimental data;  Form clusters;  Fragment lengths;  Randomly distributed, Genes;  Ionizing radiation;  Ions;  Nucleic acids;  Radiation shielding;  Radioactivity, DNA, DNA;  ion;  nickel;  virus DNA, article;  atomic force microscopy;  bacteriophage phi X 174;  biological model;  chemistry;  DNA fragmentation;  genetics;  plasmid;  radiation exposure;  radiation response, Bacteriophage phi X 174;  DNA;  DNA Fragmentation;  DNA, Viral;  Dose-Response Relationship, Radiation;  Ions;  Microscopy, Atomic Force;  Models, Biological;  Nickel;  Plasmids},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Distribution of double-strand breaks induced by ionizing radiation at the level of single DNA molecules examined by atomic force microscopy.\n \n \n \n \n\n\n \n Psonka-Antonczyk, K.; Elssser, T.; Gudowska-Nowak, E.; and Taucher-Scholz, G.\n\n\n \n\n\n\n Radiation Research, 172(3): 288-295. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Distribution$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Psonka-Antonczyk2009288,\nauthor={Psonka-Antonczyk, K. and Elssser, Th. and Gudowska-Nowak, E. and Taucher-Scholz, G.},\ntitle={Distribution of double-strand breaks induced by ionizing radiation at the level of single DNA molecules examined by atomic force microscopy},\njournal={Radiation Research},\nyear={2009},\nvolume={172},\nnumber={3},\npages={288-295},\ndoi={10.1667/RR1772.1},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-70349906593&doi=10.1667%2fRR1772.1&partnerID=40&md5=5419d115a053561f42b9c6b0fa232478},\nabstract={Double-strand breaks (DSBs) are the most critical radiation-induced lesions, because they result in the fragmentation of the DNA molecule and because a single unrepaired DSB may lead to cell death. We present the results of radiation-induced fragmentation of plasmid DNA analyzed by atomic force microscopy (AFM) to allow the visualization of individual DNA molecules. Linear ΦX174 plasmid DNA was exposed to a wide range of doses of low-LET X rays and high-LET carbon, nickel and uranium ions. The induced DNA fragments were detected and measured based on the recorded AFM images and fragment length distributions were derived for each radiation type and dose. The results show a dose- and radiation type-dependent DNA fragmentation with a significantly larger fraction of short fragments produced by high-LET radiation compared to X rays. This can be considered as experimental evidence of DSB clustering due to inhomogeneous energy deposition at the level of the plasmid DNA molecule. Additionally, the experimentally derived fragment profiles were compared and found to be in agreement with the prediction of a model simulating the fragmentation of DNA molecules induced by radiation. © 2009 by Radiation Research Society.},\nkeywords={carbon;  nickel;  plasmid DNA;  uranium;  DNA, article;  atomic force microscopy;  controlled study;  DNA fragmentation;  double stranded DNA break;  ionizing radiation;  priority journal;  radiation dose;  X ray;  chemical model;  chemical structure;  chemistry;  computer simulation;  conformation;  DNA damage;  methodology;  radiation exposure;  radiation response;  ultrastructure, Computer Simulation;  DNA;  DNA Damage;  Dose-Response Relationship, Radiation;  Microscopy, Atomic Force;  Models, Chemical;  Models, Molecular;  Nucleic Acid Conformation;  Radiation Dosage},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Tuning active Brownian motion with shot-noise energy pulses.\n \n \n \n \n\n\n \n Fiasconaro, A.; Gudowska-Nowak, E.; and Ebeling, W.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2009(1). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Tuning$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Fiasconaro2009,\nauthor={Fiasconaro, A. and Gudowska-Nowak, E. and Ebeling, W.},\ntitle={Tuning active Brownian motion with shot-noise energy pulses},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2009},\nvolume={2009},\nnumber={1},\ndoi={10.1088/1742-5468/2009/01/P01029},\nart_number={P01029},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-65449147092&doi=10.1088%2f1742-5468%2f2009%2f01%2fP01029&partnerID=40&md5=56ed3c51af22463005c8a3b0eef6aa1d},\nabstract={The main aim of this work is to explore the possibility of modeling the biological energy support mediated by absorption of ATP (adenosine triphosphate) as an energetic shot noise. We develop a general model with discrete input of energy pulses and study shot-noise-driven ratchets. We consider these ratchets as prototypes of Brownian motors driven by energy-rich ATP molecules. Our model is a stochastic machine able to acquire energy from the environment and convert it into kinetic energy of motion. We present characteristic features and demonstrate the possibility of tuning these motors by adapting the mean frequency of the discrete energy inputs, which are described as a special shot noise. In particular, the effect of stochastically driven directionality and uphill flux in systems acquiring energy from the shot noise is analyzed. As a possible application we consider the motion of kinesin on a microtubule under a constant load force. © 2009 IOP Publishing Ltd.},\nauthor_keywords={Driven diffusive systems (theory);  Molecular dynamics;  Molecular motors (theory);  Stochastic particle dynamics (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic diffusion: From Markov to non-Markov modeling.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Dybiec, B.; Góra, P.; and Zygadlo, R.\n\n\n \n\n\n\n Acta Physica Polonica B, 40(5): 1263-1270. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak20091263,\nauthor={Gudowska-Nowak, E. and Dybiec, B. and Góra, P.F. and Zygadlo, R.},\ntitle={Stochastic diffusion: From Markov to non-Markov modeling},\njournal={Acta Physica Polonica B},\nyear={2009},\nvolume={40},\nnumber={5},\npages={1263-1270},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-67649097409&partnerID=40&md5=d77a3b11d333e6398cb104ae723a260f},\nabstract={We briefly discuss omnipresence of stochastic modeling in physical science by recalling definitions of Markovian diffusion and generally, non- Markovian continuous time random walks (CTRW). If the motion of an idealized system can be described by a sum of independent displacements whose statistic over short time intervals has a well defined variance, the resulting random walk converges to a normal diffusion process. In turn, if formulation of such motion assumes the idea of distribution of waiting times between subsequent steps, the CTRW scenario emerges, which typically violates the Markovian property.},\nkeywords={Continuous-time random walk;  Diffusion process;  Markov modeling;  Markovian;  Non-Markovian;  Physical science;  Random Walk;  Short time intervals;  Stochastic diffusion;  Stochastic modeling;  Waiting time, Models, Diffusion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Cancer growth dynamics: Stochastic models and noise induced effects.\n \n \n \n \n\n\n \n Spagnolo, B.; Fiasconaro, A.; Pizzolato, N.; Valenti, D.; Adorno, D.; Caldara, P.; Ochab-Marcinek, A.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Cancer$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@CONFERENCE{Spagnolo2009539,\nauthor={Spagnolo, B. and Fiasconaro, A. and Pizzolato, N. and Valenti, D. and Adorno, D.P. and Caldara, P. and Ochab-Marcinek, A. and Gudowska-Nowak, E.},\ntitle={Cancer growth dynamics: Stochastic models and noise induced effects},\njournal={AIP Conference Proceedings},\nyear={2009},\nvolume={1129},\npages={539-544},\ndoi={10.1063/1.3140529},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-67650447635&doi=10.1063%2f1.3140529&partnerID=40&md5=6d7ecd684ee5b363d618d6a81288b169},\nabstract={In the framework of the Michaelis-Menten (MM) reaction kinetics, we analyze the cancer growth dynamics in the presence of the immune response. We found the coexistence of noise enhanced stability (NES) and resonant activation (RA) phenomena which act in an opposite way with respect to the extinction of the tumor The role of the stochastic resonance (SR) in the case of weak cancer therapy has been analyzed. The evolutionary dynamics of a system of cancerous cells in a model of chronic myeloid leukemia (CML) is investigated by a Monte Carlo approach. We analyzed the effects of a targeted therapy on the evolutionary dynamics of normal, first-mutant and cancerous cell populations. We show how the patient response to the therapy changes when an high value of the mutation rate from healthy to cancerous cells is present. Our results are in agreement with clinical observations. © 2009 American Institute of Physics.},\nauthor_keywords={Cancer growth models;  Monte carlo;  Noise},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic diffusion: From Markov to non-Markov modeling.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Dybiec, B.; Góra, P.; and Zygadlo, R.\n\n\n \n\n\n\n Acta Physica Polonica B, 40(5): 1263-1270. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak20091263,\nauthor={Gudowska-Nowak, E. and Dybiec, B. and Góra, P.F. and Zygadlo, R.},\ntitle={Stochastic diffusion: From Markov to non-Markov modeling},\njournal={Acta Physica Polonica B},\nyear={2009},\nvolume={40},\nnumber={5},\npages={1263-1270},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-67649097409&partnerID=40&md5=d77a3b11d333e6398cb104ae723a260f},\nabstract={We briefly discuss omnipresence of stochastic modeling in physical science by recalling definitions of Markovian diffusion and generally, non- Markovian continuous time random walks (CTRW). If the motion of an idealized system can be described by a sum of independent displacements whose statistic over short time intervals has a well defined variance, the resulting random walk converges to a normal diffusion process. In turn, if formulation of such motion assumes the idea of distribution of waiting times between subsequent steps, the CTRW scenario emerges, which typically violates the Markovian property.},\nkeywords={Continuous-time random walk;  Diffusion process;  Markov modeling;  Markovian;  Non-Markovian;  Physical science;  Random Walk;  Short time intervals;  Stochastic diffusion;  Stochastic modeling;  Waiting time, Models, Diffusion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Discriminating between normal and anomalous random walks.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(6). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Discriminating$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20090,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Discriminating between normal and anomalous random walks},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2009},\nvolume={80},\nnumber={6},\ndoi={10.1103/PhysRevE.80.061122},\nart_number={061122},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-73649088995&doi=10.1103%2fPhysRevE.80.061122&partnerID=40&md5=f991688d67bc1d9a4c49776373936698},\nabstract={Commonly, normal diffusive behavior is characterized by a linear dependence of the second central moment on time, x2 (t) t, while anomalous behavior is expected to show a different time dependence, x2 (t) tδ with δ<1 for subdiffusive and δ>1 for superdiffusive motions. Here we explore in details the fact that this kind of qualification, if applied straightforwardly, may be misleading: there are anomalous transport motions revealing perfectly "normal" diffusive character (x2 (t) t) yet being non-Markov and non-Gaussian in nature. We use recently developed framework of Monte Carlo simulations which incorporates anomalous diffusion statistics in time and space and creates trajectories of such an extended random walk. For special choice of stability indices describing statistics of waiting times and jump lengths, the ensemble analysis of anomalous diffusion is shown to hide temporal memory effects which can be properly detected only by examination of formal criteria of Markovianity (fulfillment of the Chapman-Kolmogorov equation). © 2009 The American Physical Society.},\nkeywords={Anomalous behavior;  Anomalous diffusion;  Anomalous transport;  Central moments;  Chapman-Kolmogorov equation;  Diffusive behavior;  Jump length;  Linear dependence;  Monte Carlo Simulation;  Non-Gaussian;  ON time;  Random Walk;  Stability indices;  Temporal memory;  Time and space;  Time dependence;  Waiting time, Computational complexity;  Computer simulation;  Monte Carlo methods;  Special effects;  Stability criteria, Equations of motion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Epidemics with short and long-range interactions: Role of vector dispersal patterns.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n European Physical Journal B, 72(4): 685-693. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Epidemics$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2009685,\nauthor={Dybiec, B.},\ntitle={Epidemics with short and long-range interactions: Role of vector dispersal patterns},\njournal={European Physical Journal B},\nyear={2009},\nvolume={72},\nnumber={4},\npages={685-693},\ndoi={10.1140/epjb/e2009-00403-1},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-72449185314&doi=10.1140%2fepjb%2fe2009-00403-1&partnerID=40&md5=511c83f1eda7b4a0990d63b33d74d3b0},\nabstract={We study the properties of the SIDRV (Susceptible-Infectious-Detected- Recovered-Vaccinated) model of the epidemic spread with local and non-local infection spread. The local spread is introduced by the nearest neighbors' interactions while the non-local spread is produced by vectors performing a random walk onto the system topology. Within the model we focus on a study of vectors' properties and on the interplay between vectors' characteristics and their dispersal patterns. We search for a type of a random walk which maximizes the time for which vectors are in the infectious state and consequently contribute to the (non-local) infection spread for the longest time. We also search for a type of a random walk which leads to the highest severity of epidemics. On the basis of numerical simulations we can conclude that from the whole considered class of random walks some are favored over others. We also show a very different performance and sensitivity of efficiency measures related to time and epidemics severity. Finally, we assess the role of assumptions taken within the model and discuss its relevance in designing elimination strategies, showing crucial role of local control strategies. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},\nkeywords={Efficiency measure;  Epidemic spread;  Local control strategies;  Long range interactions;  Nearest neighbors;  Nonlocal;  Numerical simulation;  Random Walk;  System topology, Simulators;  Vectors, Epidemiology},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Anomalous diffusion: Temporal non-Markovianity and weak ergodicity breaking.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2009(8). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Anomalous$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20091,\nauthor={Dybiec, B.},\ntitle={Anomalous diffusion: Temporal non-Markovianity and weak ergodicity breaking},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2009},\nvolume={2009},\nnumber={8},\ndoi={10.1088/1742-5468/2009/08/P08025},\nart_number={P08025},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-71049162931&doi=10.1088%2f1742-5468%2f2009%2f08%2fP08025&partnerID=40&md5=fa778550abd16d05f35851791dcb9c00},\nabstract={Traditionally, the discrimination between a Markovian and a non-Markovian process is based on the definition. If the process is Markovian, its transition probability does not depend on the history of the process and it fulfills the Smoluchowski-Chapman-Kolmogorov equation. A practical verification of these two criteria is not always possible or fully conclusive. Therefore, we present an additional method which can be used to confirm the simplest version of Markovianity. This method is based on the properties of sums of independent random variables. We apply the presented method to prove the increment dependent character of an anomalous process combining long waiting times with long jumps. Such a process, despite being non-Markovian in nature, due to a competition between long waiting times and long jumps, can reveal 'normal' behavior. We also demonstrate that this anomalous process breaks the ergodicity in the weak sense. Finally, we apply the suggested method to some experimental time series proving their Markovian nature for small timescales. © 2009 IOP Publishing Ltd and SISSA.},\nauthor_keywords={Ergodicity breaking (theory);  Stochastic particle dynamics (theory);  Stochastic processes (experiment);  Stochastic processes (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy stable noise-induced transitions: Stochastic resonance, resonant activation and dynamic hysteresis.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Statistical Mechanics: Theory and Experiment, 2009(5). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20092,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Lévy stable noise-induced transitions: Stochastic resonance, resonant activation and dynamic hysteresis},\njournal={Journal of Statistical Mechanics: Theory and Experiment},\nyear={2009},\nvolume={2009},\nnumber={5},\ndoi={10.1088/1742-5468/2009/05/P05004},\nart_number={P05004},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-71049118140&doi=10.1088%2f1742-5468%2f2009%2f05%2fP05004&partnerID=40&md5=e4abda5d8879ea60fb6f886d912a1919},\nabstract={A standard approach to analysis of noise-induced effects in stochastic dynamics assumes a Gaussian character of the noise term describing interaction of the analyzed system with its complex surroundings. An additional assumption about the existence of timescale separation between the dynamics of the measured observable and the typical timescale of the noise allows external fluctuations to be modeled as temporally uncorrelated and therefore white. However, in many natural phenomena the assumptions concerning the above mentioned properties of 'Gaussianity' and 'whiteness' of the noise can be violated. In this context, in contrast to the spatiotemporal coupling characterizing general forms of non-Markovian or semi-Markovian Lévy walks, so called Lévy flights correspond to the class of Markov processes which can still be interpreted as white, but distributed according to a more general, infinitely divisible, stable and non-Gaussian law. Lévy noise-driven non-equilibrium systems are known to manifest interesting physical properties and have been addressed in various scenarios of physical transport exhibiting a superdiffusive behavior. Here we present a brief overview of our recent investigations aimed at understanding features of stochastic dynamics under the influence of Lévy white noise perturbations. We find that the archetypal phenomena of noise-induced ordering are robust and can be detected also in systems driven by memoryless, non-Gaussian, heavy-tailed fluctuations with infinite variance. © 2009 IOP Publishing Ltd.},\nauthor_keywords={Driven diffusive systems (theory);  Stochastic particle dynamics(theory);  Stochastic processes (theory);  Transport processes/heat transfer (theory)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Anomalous diffusion and generalized Sparre Andersen scaling.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n EPL, 88(1). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Anomalous$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20093,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Anomalous diffusion and generalized Sparre Andersen scaling},\njournal={EPL},\nyear={2009},\nvolume={88},\nnumber={1},\ndoi={10.1209/0295-5075/88/10003},\nart_number={10003},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-73649101890&doi=10.1209%2f0295-5075%2f88%2f10003&partnerID=40&md5=417c87631b89b3c4c75324a6f91b9f34},\nabstract={We are discussing the long-time scaling limit for the anomalous diffusion composed of the subordinated Lévy-Wiener process. The limiting anomalous diffusion is in general non-Markov, even in the regime, where ensemble averages of a mean-square displacement or quantiles representing the group spread of the distribution follow the scaling characteristic for an ordinary stochastic diffusion. To discriminate between a truly memory-less process and the non-Markov one, we are analyzing the deviation of the survival probability from the (standard) Sparre Andersen scaling. Copyright © 2009 EPLA.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy noises: Double stochastic resonance in a single-well potential.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(4). 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20094,\nauthor={Dybiec, B.},\ntitle={Lévy noises: Double stochastic resonance in a single-well potential},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2009},\nvolume={80},\nnumber={4},\ndoi={10.1103/PhysRevE.80.041111},\nart_number={041111},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-70350044718&doi=10.1103%2fPhysRevE.80.041111&partnerID=40&md5=37fd069c9e82a8059391b9034ee9350a},\nabstract={We study properties of a single-well fourth-order potential perturbed by a periodically modulated stable noise. Periodic modulation of the stable noise asymmetry results in an occurrence of the dynamical hysteresis which is the manifestation of the stochastic resonance in the system at hand. We show that the single-well potential with time modulated stable driving is a minimalistic setup, allowing the occurrence of the stochastic resonance (as measured by the hysteresis loop area). Finally, we demonstrate that the observed stochastic resonance is of the double type, i.e., the system efficiency measured by the hysteresis loop area depends in a nonmonotonous way both on the scale parameter (noise intensity) and on the stability exponent characterizing tails asymptotic of noise pulses. © 2009 The American Physical Society.},\nkeywords={Fourth-order;  Noise intensities;  Periodic modulation;  Scale parameter;  Stochastic resonances;  System efficiency, Circuit resonance;  Magnetic materials;  Magnetic resonance, Hysteresis},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Modelling control of epidemics spreading by long-range interactions.\n \n \n \n \n\n\n \n Dybiec, B.; Kleczkowski, A.; and Gilligan, C.\n\n\n \n\n\n\n Journal of the Royal Society Interface, 6(39): 941-950. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Modelling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2009941,\nauthor={Dybiec, B. and Kleczkowski, A. and Gilligan, C.A.},\ntitle={Modelling control of epidemics spreading by long-range interactions},\njournal={Journal of the Royal Society Interface},\nyear={2009},\nvolume={6},\nnumber={39},\npages={941-950},\ndoi={10.1098/rsif.2008.0468},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-69949085094&doi=10.1098%2frsif.2008.0468&partnerID=40&md5=cde3774378f7cbf482b84f0eeee5c9da},\nabstract={We have studied the spread of epidemics characterized by a mixture of local and non-local interactions. The infection spreads on a two-dimensional lattice with the fixed nearest neighbour connections. In addition, long-range dynamical links are formed by moving agents (vectors). Vectors perform random walks, with step length distributed according to a thick-tail distribution. Two distributions are considered in this paper, an a-stable distribution describing self-similar vector movement, yet characterized by an infinite variance and an exponential power characterized by a large but finite variance. Such long-range interactions are hard to track and make control of epidemics very difficult. We also allowed for cryptic infection, whereby an infected individual on the lattice can be infectious prior to showing any symptoms of infection or disease. To account for such cryptic spread, we considered a control strategy in which not only detected, i.e. symptomatic, individuals but also all individuals within a certain control neighbourhood are treated upon the detection of disease. We show that it is possible to eradicate the disease by using such purely local control measures, even in the presence of long-range jumps. In particular, we show that the success of local control and the choice of the optimal strategy depend in a non-trivial way on the dispersal patterns of the vectors. By characterizing these patterns using the stability index of the a-stable distribution to change the power-law behaviour or the exponent characterizing the decay of an exponential power distribution, we show that infection can be successfully contained using relatively small control neighbourhoods for two limiting cases for long-distance dispersal and for vectors that are much more limited in their dispersal range. © 2009 The Royal Society.},\nauthor_keywords={Disease spread;  Dispersal patterns;  Epidemiological control;  Epidemiological modelling;  Stochastic modelling},\nkeywords={Stochastic control systems;  Vectors, Disease spread;  Dispersal patterns;  Epidemiological control;  Epidemiological modelling;  Stochastic modelling, Disease control, alpha stable distribution;  article;  control strategy;  dispersion;  epidemic;  infection control;  mathematical analysis;  mathematical model;  mathematical variable;  nonhuman;  normal distribution;  random walk;  vector movement},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic diffusion: From Markov to non-Markov modeling.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Dybiec, B.; Góra, P.; and Zygadlo, R.\n\n\n \n\n\n\n Acta Physica Polonica B, 40(5): 1263-1270. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak20091263,\nauthor={Gudowska-Nowak, E. and Dybiec, B. and Góra, P.F. and Zygadlo, R.},\ntitle={Stochastic diffusion: From Markov to non-Markov modeling},\njournal={Acta Physica Polonica B},\nyear={2009},\nvolume={40},\nnumber={5},\npages={1263-1270},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-67649097409&partnerID=40&md5=d77a3b11d333e6398cb104ae723a260f},\nabstract={We briefly discuss omnipresence of stochastic modeling in physical science by recalling definitions of Markovian diffusion and generally, non- Markovian continuous time random walks (CTRW). If the motion of an idealized system can be described by a sum of independent displacements whose statistic over short time intervals has a well defined variance, the resulting random walk converges to a normal diffusion process. In turn, if formulation of such motion assumes the idea of distribution of waiting times between subsequent steps, the CTRW scenario emerges, which typically violates the Markovian property.},\nkeywords={Continuous-time random walk;  Diffusion process;  Markov modeling;  Markovian;  Non-Markovian;  Physical science;  Random Walk;  Short time intervals;  Stochastic diffusion;  Stochastic modeling;  Waiting time, Models, Diffusion},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n SIR model of epidemic spread with accumulated exposure.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n European Physical Journal B, 67(3): 377-383. 2009.\n \n\n\n\n
\n\n\n\n \n \n $\"SIR$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2009377,\nauthor={Dybiec, B.},\ntitle={SIR model of epidemic spread with accumulated exposure},\njournal={European Physical Journal B},\nyear={2009},\nvolume={67},\nnumber={3},\npages={377-383},\ndoi={10.1140/epjb/e2008-00435-y},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-66949144741&doi=10.1140%2fepjb%2fe2008-00435-y&partnerID=40&md5=d58c2682e9ee1f176976a6d138ad7df9},\nabstract={We study an extended and modified SIR model of epidemic spread in which susceptible agents during interactions with infectious neighbors are exposed to the disease and can consequently become infectious. The studied model is extended to include heterogeneity of interactions which is modelled assuming random character of the dose accumulated by susceptible agents in every interaction with infectious neighbors. When the accumulated exposure is larger than the individual's resistance, an agent becomes infectious and consequently introduces a new source of an epidemic which is capable of passing the disease further. We study statistical properties characterizing the course of an epidemic. The examination of the modified SIR model reveals a possible "resonant activation"-like behavior of the system in the duration of the epidemic outbreak and a possible bistable behavior of the model with accumulated exposure. Furthermore, the linear scaling of the duration of the epidemic with the system size for a wide range of the model parameters is recorded. © 2008 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.},\nkeywords={Bistable;  Epidemic spread;  Linear scaling;  Model parameters;  New sources;  Random characters;  Resonant activation;  SIR model;  Statistical properties;  System size, Epidemiology},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2008\n \n \n (10)\n \n \n

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\n \n\n \n \n \n \n \n \n Landau-de Gennes theory of biaxial nematics reexamined.\n \n \n \n \n\n\n \n Allender, D.; and Longa, L.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(1). 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Landau-de$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Allender2008,\nauthor={Allender, D. and Longa, L.},\ntitle={Landau-de Gennes theory of biaxial nematics reexamined},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2008},\nvolume={78},\nnumber={1},\ndoi={10.1103/PhysRevE.78.011704},\nart_number={011704},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-48349083400&doi=10.1103%2fPhysRevE.78.011704&partnerID=40&md5=3cd2a07bd46717dd6117b282a7b2d4b2},\nabstract={Recent experiments report that the long-looked-for thermotropic biaxial nematic phase has been finally detected in some thermotropic liquid crystalline systems. Inspired by these experimental observations, we concentrate on some elementary theoretical issues concerned with the classical sixth-order Landau-de Gennes free energy expansion in terms of the symmetric and traceless tensor order parameter Qαβ. In particular, we fully explore the stability of the biaxial nematic phase giving analytical solutions for all distinct classes of the phase diagrams that theory allows. This includes diagrams with triple, critical, and tricritical points and with multiple (reentrant) biaxial and uniaxial phase transitions. A brief comparison with predictions of existing molecular theories is also given. © 2008 The American Physical Society.},\nkeywords={Graphic methods;  Phase diagrams;  Phase stability;  Phase transitions;  System stability, Analytical solutions;  Biaxial nematic phase;  Biaxial nematics;  Experimental observations;  Landau-de Gennes free energy;  Landau-de Gennes theory;  Liquid crystalline systems;  Tensor order parameter;  Tri-critical point, Liquid phase epitaxy},\ncorrespondence_address1={Allender, D.; Department of Physics, Liquid Crystal Institute, Kent State University, P. O. Box 5190, Kent, OH 44242-0001, United States; email: allender@physics.kent.edu},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n On stochastic dynamics in physics - Remarks on history and terminology.\n \n \n \n \n\n\n \n Ebeling, W.; Gudowska-Nowak, E.; and Sokolov, I.\n\n\n \n\n\n\n Acta Physica Polonica B, 39(5): 1003-1018. 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"On$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ebeling20081003,\nauthor={Ebeling, W. and Gudowska-Nowak, E. and Sokolov, I.M.},\ntitle={On stochastic dynamics in physics - Remarks on history and terminology},\njournal={Acta Physica Polonica B},\nyear={2008},\nvolume={39},\nnumber={5},\npages={1003-1018},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-55249123147&partnerID=40&md5=08f8431624779b21f74b5ce21a1c375d},\nabstract={We discuss the early investigations of Brownian motion as a stochastic process by surveying contributions by Fick and Rayleigh developed later in works of Einstein, Smoluchowski, Langevin, Fokker, Planck, Klein, Kramers and Pauli. In particular, we are interested in the influence of the theory of probability in the development of the kinetic theory and we briefly analyze the origin of fundamental equations used in the mathematical description of the stochastic processes.},\nkeywords={Brownian movement;  Equations of motion;  Random processes;  Terminology, Brownian motions;  Fundamental equations;  Langevin;  Mathematical descriptions;  Rayleigh;  Stochastic dynamics;  Stochastic processes, Physics},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Statistical distributions for hamiltonian systems coupled to energy reservoirs and applications to molecular energy conversion.\n \n \n \n \n\n\n \n Ebeling, W.; Gudowska-Nowak, E.; and Fiasconaro, A.\n\n\n \n\n\n\n Acta Physica Polonica B, 39(5): 1251-1272. 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Statistical$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ebeling20081251,\nauthor={Ebeling, W. and Gudowska-Nowak, E. and Fiasconaro, A.},\ntitle={Statistical distributions for hamiltonian systems coupled to energy reservoirs and applications to molecular energy conversion},\njournal={Acta Physica Polonica B},\nyear={2008},\nvolume={39},\nnumber={5},\npages={1251-1272},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-55249120699&partnerID=40&md5=ad065e74644908a0c843c99cb58d2199},\nabstract={We study systems with Hamiltonian dynamics type coupled to reservoirs providing free energy which may be converted into acceleration. In the first part we introduce general concepts, like canonical dissipative systems and find exact solutions of associated Fokker-Planck equations that describe time evolutions of systems at hand. Next we analyze dynamics in ratchets with energy support which might be treated by perturbation theory around canonical dissipative systems. Finally we discuss possible applications of these ratchet systems to model the mechanism of biological energy conversion and molecular motors.},\nkeywords={Dynamics;  Energy conversion;  Perturbation techniques;  Physics, Biological energies;  Dissipative systems;  Energy reservoirs;  Exact solutions;  Hamiltonian dynamics;  Hamiltonian systems;  Molecular Motors;  Perturbation theories;  Planck equations;  Statistical distributions;  Time evolutions, Hamiltonians},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Active Brownian motion models and applications to ratchets.\n \n \n \n \n\n\n \n Fiasconaro, A.; Ebeling, W.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n European Physical Journal B, 65(3): 403-414. 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Active$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Fiasconaro2008403,\nauthor={Fiasconaro, A. and Ebeling, W. and Gudowska-Nowak, E.},\ntitle={Active Brownian motion models and applications to ratchets},\njournal={European Physical Journal B},\nyear={2008},\nvolume={65},\nnumber={3},\npages={403-414},\ndoi={10.1140/epjb/e2008-00267-9},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-54249142100&doi=10.1140%2fepjb%2fe2008-00267-9&partnerID=40&md5=d4de0780e108eccd7830681e617ed6bd},\nabstract={We give an overview over recent studies on the model of Active Brownian Motion (ABM) coupled to reservoirs providing free energy which may be converted into kinetic energy of motion. First, we present an introduction to a general concept of active Brownian particles which are capable to take up energy from the source and transform part of it in order to perform various activities. In the second part of our presentation we consider applications of ABM to ratchet systems with different forms of differentiable potentials. Both analytical and numerical evaluations are discussed for three cases of sinusoidal, staircaselike and Mateos ratchet potentials, also with the additional loads modelled by tilted potential structure. In addition, stochastic character of the kinetics is investigated by considering perturbation by Gaussian white noise which is shown to be responsible for driving the directionality of the asymptotic flux in the ratchet. This stochastically driven directionality effect is visualized as a strong nonmonotonic dependence of the statistics of the right versus left trajectories of motion leading to a net current of particles. Possible applications of the ratchet systems to molecular motors are also briefly discussed. © 2008 Springer.},\nkeywords={Active Brownian particles;  Additional loads;  Brownian Motion models;  Brownian motions;  Energy of motions;  Gaussian white noises;  Kinetic;  Molecular motors;  Nonmonotonic dependences;  Numerical evaluations;  Potential structures;  Ratchet potentials;  Stochastic, Applications;  White noise, Brownian movement},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment.\n \n \n \n \n\n\n \n Fiasconaro, A.; Ochab-Marcinek, A.; Spagnolo, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n European Physical Journal B, 65(3): 435-442. 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Monitoring$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Fiasconaro2008435,\nauthor={Fiasconaro, A. and Ochab-Marcinek, A. and Spagnolo, B. and Gudowska-Nowak, E.},\ntitle={Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment},\njournal={European Physical Journal B},\nyear={2008},\nvolume={65},\nnumber={3},\npages={435-442},\ndoi={10.1140/epjb/e2008-00246-2},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-54249112239&doi=10.1140%2fepjb%2fe2008-00246-2&partnerID=40&md5=c07a67580c912fdd10530a5c72076021},\nabstract={We investigate a mathematical model describing the growth of tumor in the presence of immune response of a host organism. The dynamics of tumor and immune cells populations is based on the generic Michaelis-Menten kinetics depicting interaction and competition between the tumor and the immune system. The appropriate phenomenological equation modeling cell-mediated immune surveillance against cancer is of the predator-prey form and exhibits bistability within a given choice of the immune response-related parameters. Under the influence of weak external fluctuations, the model may be analyzed in terms of a stochastic differential equation bearing the form of an overdamped Langevin-like dynamics in the external quasi-potential represented by a double well. We analyze properties of the system within the range of parameters for which the potential wells are of the same depth and when the additional perturbation, modeling a periodic treatment, is insufficient to overcome the barrier height and to cause cancer extinction. In this case the presence of a small amount of noise can positively enhance the treatment, driving the system to a state of tumor extinction. On the other hand, however, the same noise can give rise to return effects up to a stochastic resonance behavior. This observation provides a quantitative analysis of mechanisms responsible for optimization of periodic tumor therapy in the presence of spontaneous external noise. Studying the behavior of the extinction time as a function of the treatment frequency, we have also found the typical resonant activation effect: For a certain frequency of the treatment, there exists a minimum extinction time. © 2008 Springer.},\nkeywords={Barrier heights;  Bi-stability;  Cancer growths;  Double wells;  External noises;  External-;  Extinction times;  Host organisms;  Immune cells;  Immune responses;  Immune surveillances;  Immune systems;  Langevin;  Modeling;  Periodic;  Phenomenological equations;  Potential wells;  Quantitative analyses;  Resonant activations;  Resonant effects;  Stochastic differential equations;  Stochastic resonances;  Tumor therapies, Differential equations;  Dynamics;  Immunology;  Population statistics;  Resonance;  Stochastic models;  Stochastic programming;  Tumors, Mathematical models},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Biophysical modeling of fragment distributions of DNA plasmids after heavy ion irradiation.\n \n \n \n \n\n\n \n Elsässer, T.; Scholz, M.; Taucher–Scholz, G.; Brons, S.; Psonka, K.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Biophysical$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@BOOK{Elsasser2008389,\nauthor={Elsässer, T. and Scholz, M. and Taucher–Scholz, G. and Brons, S. and Psonka, K. and Gudowska-Nowak, E.},\ntitle={Biophysical modeling of fragment distributions of DNA plasmids after heavy ion irradiation},\njournal={Latest Advances in Atomic Cluster Collisions: Structure and Dynamics from the Nuclear to the Biological Scale},\nyear={2008},\npages={389-399},\ndoi={10.1142/9781848162389_0029},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84967551338&doi=10.1142%2f9781848162389_0029&partnerID=40&md5=44ac05d35b18392ca9bc2cb69968c40c},\nabstract={The investigation of fragment length distributions of plasmid DNA following ion irradiation leads to a better understanding of the induction of DNA damage, particularly the clustering of double strand breaks. We present a model that calculates the fragment distributions of plasmid DNA following heavy ion irradiation by combining the Local Effect Model with a statistical model initially developed for X-rays. The integration of experimental constraints into the model calculations changes the resulting distributions strongly. We find a good agreement of our simulations with experimental fragment distributions based on atomic force microscopy studies. The model provides the means to rapidly predict the results for all ions. It may thus help to find the best ion species in order to demonstrate the impact of the localized energy distribution of particles. © 2008 by Imperial College Press. All rights reserved.},\nauthor_keywords={Atomic force microscopy;  Biophysical modeling;  DNA damage;  Ion irradiation},\ndocument_type={Book Chapter},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Current inversion in the Lévy ratchet.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(6). 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Current$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec20081,\nauthor={Dybiec, B.},\ntitle={Current inversion in the Lévy ratchet},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2008},\nvolume={78},\nnumber={6},\ndoi={10.1103/PhysRevE.78.061120},\nart_number={061120},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-58149280390&doi=10.1103%2fPhysRevE.78.061120&partnerID=40&md5=edc49b8a3dcafdecf8111e322f80ada9},\nabstract={We study the motion of an overdamped test particle in a static periodic potential lacking spatial symmetry under the influence of periodically modulated α -stable (Lévy) type noise. Due to the nonthermal character of the driving noise, the particle exhibits a motion with a preferred direction. The additional periodic modulation of the noise asymmetry changes the behavior of the static "Lévy ratchet." For the fast rate of the noise asymmetry modulation, the Lévy ratchet behaves like the one driven by the symmetric α -stable noise. When the modulation period is larger, the nontrivial effects of the noise asymmetry on the behavior of the Lévy ratchet are visible. In particular, the current inversion is observed in the system at hand. The properties of the Lévy ratchet are studied by use of the robust measures of directionality, which are defined regardless of the type of the stochastic driving. © 2008 The American Physical Society.},\nkeywords={Modulation periods;  Periodic modulations;  Periodic potentials;  Spatial symmetries;  Test particles, Modulation},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Random strategies of contact tracking.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 387(19-20): 4863-4870. 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Random$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec20084863,\nauthor={Dybiec, B.},\ntitle={Random strategies of contact tracking},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2008},\nvolume={387},\nnumber={19-20},\npages={4863-4870},\ndoi={10.1016/j.physa.2008.04.027},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-44649100745&doi=10.1016%2fj.physa.2008.04.027&partnerID=40&md5=008decf39e6227670aef4a014f7b0f41},\nabstract={One of several critical issues in the development of optimal disease containment and eradication strategies is the knowledge of underlying contacts between individuals. Here we employ random search strategies to identify all possible links, representing direct or indirect interactions between individuals building up the system. In order to recognize all contacts, the searcher performs symmetric Lévy flights onto the accessible area. We investigate the influence of local and non-local information, the exponent characterizing asymptotic behavior of Lévy flights, boundary conditions, density of links and type of a search strategy on the efficiency of the search process. Monte Carlo examination of the suggested model reveals that the efficiency of the search process is sensitive to the type of boundary conditions. Depending on the assumed type of boundary conditions, efficiency of the search process can be a monotonic or non-monotonic function of the exponents characterizing asymptotic behavior of Lévy flights. Consequently, among the whole spectrum of exponents characterizing the power law behavior of jumps' length, there exist distinguished values of stability index representing the most efficient search processes. These exponents correspond to extreme (minimal or maximal) or intermediate values of stability index associated with Gaussian, maximally heavy-tailed or Cauchy-like strategies, respectively. © 2008 Elsevier B.V. All rights reserved.},\nauthor_keywords={α-stable Lévy type random variables;  Lévy flights;  Optimal search strategies;  Random walks},\nkeywords={Asymptotic analysis;  Boundary conditions;  Disease control;  Information analysis;  Monte Carlo methods, Optimal disease containment;  Optimal search strategies;  Random walks, Random processes},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Transport in a Lévy ratchet: Group velocity and distribution spread.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Sokolov, I.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(1). 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Transport$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20082,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Sokolov, I.M.},\ntitle={Transport in a Lévy ratchet: Group velocity and distribution spread},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2008},\nvolume={78},\nnumber={1},\ndoi={10.1103/PhysRevE.78.011117},\nart_number={011117},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-48349116099&doi=10.1103%2fPhysRevE.78.011117&partnerID=40&md5=8240bf0bb10b24bd6df774d17f356f64},\nabstract={We consider the motion of an overdamped particle in a periodic potential lacking spatial symmetry under the influence of symmetric, white, Lévy noise, being a minimal setup for a "Lévy ratchet." Due to the nonthermal character of the Lévy noise, the particle exhibits a motion with a preferred direction even in the absence of whatever additional time-dependent forces. The examination of the Lévy ratchet has to be based on the characteristics of directionality which are different from typically used measures such as mean current and the dispersion of particle positions, since these become inappropriate when the moments of the noise diverge. To overcome this problem, we discuss robust measures of directionality of transport such as the position of the median of the particle displacement distribution characterizing the group velocity and the interquantile distance giving the measure of the distribution width. Moreover, we analyze the behavior of splitting probabilities for leaving an interval of a given length, unveiling qualitative differences between the noises with Lévy indices below and above unity. © 2008 The American Physical Society.},\nkeywords={Light velocity;  Probability distributions, Group velocities;  Mean currents;  Non-thermal;  Particle displacements;  Periodic potentials;  Qualitative differences;  Spatial symmetries;  Time-dependent, Risk assessment},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Barrier crossing process driven by two dichotomous noises.\n \n \n \n \n\n\n \n Dybiec, B.\n\n\n \n\n\n\n International Journal of Modern Physics C, 19(1): 49-61. 2008.\n \n\n\n\n
\n\n\n\n \n \n $\"Barrier$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec200849,\nauthor={Dybiec, B.},\ntitle={Barrier crossing process driven by two dichotomous noises},\njournal={International Journal of Modern Physics C},\nyear={2008},\nvolume={19},\nnumber={1},\npages={49-61},\ndoi={10.1142/S0129183108011930},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-44349174501&doi=10.1142%2fS0129183108011930&partnerID=40&md5=b24f37f2214fa251994f687791420392},\nabstract={We study the motion of an overdamped Brownian particle in a linear potential between reflecting and absorbing boundaries. The moving particle experiences the combined action of random and deterministic forces. In the model, the well-known and celebrated phenomenon of resonant activation is visible. The presence of two dichotomous noises modulates the shape of the potential barrier and changes the force acting on the particle leading to further acceleration of the escape kinetics in comparison to the situation where only one dichotomous process is present. In the case of very small or very large correlation times of dichotomous noises, we can observe asymptotic behavior of the system in which effectively one of the dichotomous noises is eliminated. © 2008 World Scientific Publishing Company.},\nauthor_keywords={Dichotomous noise;  First-passage problems;  Resonant activation;  Stochastic dierential equations;  Stochastic methods},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2007\n \n \n (24)\n \n \n

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\n \n\n \n \n \n \n \n \n Stability of biaxial nematic phase for systems with variable molecular shape anisotropy.\n \n \n \n \n\n\n \n Longa, L.; Paja̧k, G.; and Wydro, T.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(1). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Stability$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa2007,\nauthor={Longa, L. and Paja̧k, G. and Wydro, T.},\ntitle={Stability of biaxial nematic phase for systems with variable molecular shape anisotropy},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2007},\nvolume={76},\nnumber={1},\ndoi={10.1103/PhysRevE.76.011703},\nart_number={011703},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34547154141&doi=10.1103%2fPhysRevE.76.011703&partnerID=40&md5=02a7b8dca6521d8ccb8919e06941f48e},\nabstract={We study the influence of fluctuations in molecular shape on the stability of the biaxial nematic phase by generalizing the mean-field model of Mulder and Ruijgrok [Physica A 113, 145 (1982)]. We limit ourselves to the case when the molecular shape anisotropy, represented by the alignment tensor, is a random variable of an annealed type. A prototype of such behavior can be found in lyotropic systems-a mixture of potassium laurate, 1-decanol, and D2 O, where distribution of the micellar shape adjusts to actual equilibrium conditions. Further examples of materials with the biaxial nematic phase, where molecular shape is subject to fluctuations, are thermotropic materials composed of flexible trimericlike or tetrapodlike molecular units. Our calculations show that the Gaussian equilibrium distribution of the variables describing molecular shape (dispersion force) anisotropy gives rise to new classes of the phase diagrams, absent in the original model. Depending on properties of the shape fluctuations, the stability of the biaxial nematic phase can be either enhanced or depressed, relative to the uniaxial nematic phases. In the former case the splitting of the Landau point into two triple points with a direct phase transition line from isotropic to biaxial phase is observed. © 2007 The American Physical Society.},\nkeywords={Gaussian distribution;  Mathematical models;  Molecular structure;  Random processes;  Software prototyping;  Tensors, Biaxial nematic phase;  Molecular shape anisotropy, System stability},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, Poland; email: longa@th.if.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Frustration in smectic layers of polar Gay-Berne systems.\n \n \n \n \n\n\n \n Józefowicz, W.; and Longa, L.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(1). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Frustration$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Jozefowicz2007,\nauthor={Józefowicz, W. and Longa, L.},\ntitle={Frustration in smectic layers of polar Gay-Berne systems},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2007},\nvolume={76},\nnumber={1},\ndoi={10.1103/PhysRevE.76.011701},\nart_number={011701},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34547175736&doi=10.1103%2fPhysRevE.76.011701&partnerID=40&md5=0e824cc0012ae455a76ceaa96892f001},\nabstract={The main focus of the present paper is studying dipolar frustration within smectic- Ad layers as induced by dipole-dipole interactions. Our reference point is the Gay-Berne system with κ=4, κ′ =5, μ=2 and ν=1, which in the phase diagram shows a stable "island" of smectic- A phase with a short-range hexagonal order within each layer. We carry out isothermal-isobaric Monte Carlo simulations for a dipolar version of this model, where the Gay-Berne interaction is supplemented by interaction between longitudinal dipole moments. For a fixed off-center position of the dipoles we increase value of the dipole moment and follow evolution of the liquid-crystalline part of the phase diagram focusing on changes of the nematic-smectic- A phase boundaries and on structural response of the smectic- A layers. For weak dipoles only the classical smectic- A phase is stabilized, which then transforms into smectic- Ad with layers being formed by two ferroelectrically polarized sublayers of opposite polarization. Average positions of dipoles that contribute to the polarization of a sublayer are located in a common plane, referred to as a dipolar plane. For not too strong dipole-dipole interactions increasing magnitude of the dipole moment causes stabilization of nematic at the expense of smectic- Ad. Under the same conditions the layer spacing increases and the distance between the dipolar planes within layers decreases. Each smectic sublayer is characterized by a short-range hexagonal order of the molecular centers of mass. With the dipole moment exceeding the threshold value, the polarization planes that built up the layers start to merge, which sets in the dipolar frustration. This, in turn, forces the system to develop a competition between frustrated hexagonal- and frustration-free tetragonal local order within each layer. When the local hexagonal order is transformed into the tetragonal one the stability range of smectic- Ad increases with increasing dipole moment at the expense of the nematic phase. Similar competition is observed in crystalline phases. For small dipole moment only crystalline structures with long-range hexagonal order appear stable. They evolve with dipolar strength into monoclinic and tetragonal lattices. © 2007 The American Physical Society.},\nkeywords={Computer simulation;  Crystal structure;  Ferroelectric materials;  Monte Carlo methods;  Nematic liquid crystals;  Phase boundaries, Dipole-dipole interactions;  Molecular centers;  Smectic- Ad layers, Smectic liquid crystals},\ncorrespondence_address1={Józefowicz, W.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, Kraków, Poland; email: wjozefow@th.if.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n\n\n

\n The main focus of the present paper is studying dipolar frustration within smectic- Ad layers as induced by dipole-dipole interactions. Our reference point is the Gay-Berne system with κ=4, κ′ =5, μ=2 and ν=1, which in the phase diagram shows a stable \"island\" of smectic- A phase with a short-range hexagonal order within each layer. We carry out isothermal-isobaric Monte Carlo simulations for a dipolar version of this model, where the Gay-Berne interaction is supplemented by interaction between longitudinal dipole moments. For a fixed off-center position of the dipoles we increase value of the dipole moment and follow evolution of the liquid-crystalline part of the phase diagram focusing on changes of the nematic-smectic- A phase boundaries and on structural response of the smectic- A layers. For weak dipoles only the classical smectic- A phase is stabilized, which then transforms into smectic- Ad with layers being formed by two ferroelectrically polarized sublayers of opposite polarization. Average positions of dipoles that contribute to the polarization of a sublayer are located in a common plane, referred to as a dipolar plane. For not too strong dipole-dipole interactions increasing magnitude of the dipole moment causes stabilization of nematic at the expense of smectic- Ad. Under the same conditions the layer spacing increases and the distance between the dipolar planes within layers decreases. Each smectic sublayer is characterized by a short-range hexagonal order of the molecular centers of mass. With the dipole moment exceeding the threshold value, the polarization planes that built up the layers start to merge, which sets in the dipolar frustration. This, in turn, forces the system to develop a competition between frustrated hexagonal- and frustration-free tetragonal local order within each layer. When the local hexagonal order is transformed into the tetragonal one the stability range of smectic- Ad increases with increasing dipole moment at the expense of the nematic phase. Similar competition is observed in crystalline phases. For small dipole moment only crystalline structures with long-range hexagonal order appear stable. They evolve with dipolar strength into monoclinic and tetragonal lattices. © 2007 The American Physical Society.\n

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\n \n\n \n \n \n \n \n \n Synchronization in the presence of memory.\n \n \n \n \n\n\n \n Morgado, R.; Cieśla, M.; Longa, L.; and Oliveira, F.\n\n\n \n\n\n\n EPL, 79(1). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Synchronization$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Morgado2007,\nauthor={Morgado, R. and Cieśla, M. and Longa, L. and Oliveira, F.A.},\ntitle={Synchronization in the presence of memory},\njournal={EPL},\nyear={2007},\nvolume={79},\nnumber={1},\ndoi={10.1209/0295-5075/79/10002},\nart_number={10002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-79051469496&doi=10.1209%2f0295-5075%2f79%2f10002&partnerID=40&md5=660942aec9e9bcd3e58a65f0b7598bea},\nabstract={We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general the synchronization transition becomes more difficult to meet when the memory range increases, for intermediate ranges the synchronization tendency of systems can be enhanced. Generally the synchronization transition is found to depend on the memory profile and range and the ratio of noise strength to memory amplitude, which indicates a possibility of optimizing synchronization by memory. We also point out a close link between dynamics with memory and noise, and recently discovered synchronizing properties of networks with delayed interactions. © Europhysics Letters Association.},\ncorrespondence_address1={Morgado, R.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Noise-induced synchronization in the Fahy-Hamann model.\n \n \n \n \n\n\n \n Cieśla, M.; and Longa, L.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5): 1719-1726. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Noise-induced$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla20071719,\nauthor={Cieśla, M. and Longa, L.},\ntitle={Noise-induced synchronization in the Fahy-Hamann model},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npages={1719-1726},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-44049085653&partnerID=40&md5=c923efa090008edb76eeb4241f9e7a26},\nabstract={We study the noise-induced synchronization in a system of particles moving in Fahy-Hamann potential [S. Fahy, D.R. Hamann, Phys. Rev. Lett. 69, 761 (1992)] and subjected to generalized Langevin forces. We investigate the synchronization dependence on system's parameters and on memory range. The results show that while in general memory acts against synchronization, for intermediate memory ranges the opposite effect can be observed. Generally the synchronization transition is found to depend on memory range, temperature and dissipation in the system.},\nkeywords={Brownian movement;  Mathematical models;  Parameter estimation;  Synchronization;  Thermal effects, Fahy-Hamann model;  Memory range;  Noise induced synchronization, Large scale systems},\ncorrespondence_address1={Cieśla, M.; Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 31-059 Krakow, Poland},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica, Series B: Preface.\n \n \n \n \n\n\n \n Góra, P.; Gudowska-Nowak, E.; and Longa, L.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gora2007,\nauthor={Góra, P. and Gudowska-Nowak, E. and Longa, L.},\ntitle={Acta Physica Polonica, Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npage_count={2},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-57649090717&partnerID=40&md5=46e6be51b5d5fc4a45e4c3078db4f0c2},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Molecular dynamics simulation of the Lennard-Jones polymers in a good solvent.\n \n \n \n \n\n\n \n Cieśla, M.; Pawlowicz, J.; and Longa, L.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5): 1727-1736. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Molecular$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla20071727,\nauthor={Cieśla, M. and Pawlowicz, J. and Longa, L.},\ntitle={Molecular dynamics simulation of the Lennard-Jones polymers in a good solvent},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npages={1727-1736},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-43749083303&partnerID=40&md5=079af626c7de1776e3d209db559fdff4},\nabstract={We carried out united-atom Langevin dynamics simulations of polymer's equilibrium state in a good solvent. Our primary goal was a pedagogical exposition of fundamental equilibrium properties of isolated polymers in dilutions with a model that contains many features of real materials. The polymer was chosen to be a three-dimensional chain of N identical beads (monomers) without internal structure. Each monomer interacted with its two neighbors by a harmonic potential, which modeled a chemical bond. Additionally all monomers within a chain were assumed to interact through the Lennard-Jones (LJ) potential. Interaction with solvent and with other polymers was introduced using Langevin forces. Analyzing internal energy per polymer and radius of gyration as function of temperature we observed a rapid globule to coil phase transition. Also we studied clastic properties of single polymer chain for temperatures below the transition and identified three regions with different elastic behavior. Typical chain lengths in our simulations ranged from 100 to 1000 monomers. The elaborated software package can easily be modified to study e.g. the effect of polymer stiffness on thermodynamic behavior.},\nkeywords={Chain length;  Dilution;  Molecular interactions;  Molecular modeling;  Monomers;  Polymers;  Software packages;  Solvents, Langevin forces;  Lennard-Jones (LJ) potential;  Lennard-Jones polymers, Molecular dynamics},\ncorrespondence_address1={Cieśla, M.; Department of Statistical Physics, M. Smoluchowski Institute of Physics, Jagellonian University, Rcymonta 4, 31-059 Krakow, Poland},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Simulations of the elastic bent-core molecules.\n \n \n \n \n\n\n \n Józefowicz, W.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 478(1): 115-123. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Simulations$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Jozefowicz2007115,\nauthor={Józefowicz, W. and Longa, L.},\ntitle={Simulations of the elastic bent-core molecules},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2007},\nvolume={478},\nnumber={1},\npages={115-123},\ndoi={10.1080/15421400701738586},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-38849150488&doi=10.1080%2f15421400701738586&partnerID=40&md5=3adf15dde2fd7827d9d1f9e845de8066},\nabstract={An influence of thermal fluctuations in opening angle was studied for a model of bent-core molecules using MC NPT computer simulation. The elastic bent-core shape was modeled by joining two Gay-Berne particles through the harmonic bond. Results for two stiff bananas with fixed opening angles of =120 and =140 were compared with their elastic counterparts. For all systems studied we found that with the varying opening angle the melting point moves towards lower temperatures. We did not discover any new phase as compared to the stiff cases.},\nauthor_keywords={Bent-core;  MC simulations;  Variable opening angle},\nkeywords={Computer simulation;  Elasticity;  Thermal effects, MC simulations;  Variable opening angle, Molecular structure},\ncorrespondence_address1={Józefowicz, W.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Instytut Fizyki UJ, ul. Reymonta 4, Krakow, 30-059, Poland; email: wjozefow@th.if.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Bimodality and hysteresis in systems driven by confined Lévy flights.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n New Journal of Physics, 9. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Bimodality$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20071,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Bimodality and hysteresis in systems driven by confined Lévy flights},\njournal={New Journal of Physics},\nyear={2007},\nvolume={9},\ndoi={10.1088/1367-2630/9/12/452},\nart_number={452},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37549051714&doi=10.1088%2f1367-2630%2f9%2f12%2f452&partnerID=40&md5=7df09d5334732d550ec082aa07fee035},\nabstract={We demonstrate the occurrence of bimodality and dynamical hysteresis in a system describing an overdamped quartic oscillator perturbed by additive white and asymmetric Lévy noise. Investigated estimators of the stationary probability density profiles display not only a turnover from unimodal to bimodal character but also a change in a relative stability of stationary states that depends on the asymmetry parameter of the underlying noise term. When varying the asymmetry parameter cyclically, the system exhibits a hysteresis in the occupation of a chosen stationary state. © IOP Publishing Ltd and Deutsche Physikalische Gesellscnaft.},\nkeywords={Acoustic variables control;  Hysteresis;  Parameter estimation;  Perturbation techniques, Quartic oscillators;  Stationary probability density profiles;  Stationary states, Probability density function},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Towards non-Hermitian random levy matrices.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Jarosz, A.; Nowak, M.; and Papp, G.\n\n\n \n\n\n\n 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Towards$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak20074089,\nauthor={Gudowska-Nowak, E.W.A. and Jarosz, A. and Nowak, M.A. and Papp, G.},\ntitle={Towards non-Hermitian random levy matrices},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={13 SPEC. ISS.},\npages={4089-4104},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-38549086907&partnerID=40&md5=2ca56943a7f02a538127010e3dd22fe8},\nabstract={We review a new technique for calculating spectral properties of infinite non-Hermitian random matrix models, and we present an algorithm for calculating bulk spectral properties of ensembles of the type H1 + iH 2, where H1 and H2 are arbitrary free (in the sense of Voiculescu) ensembles, including cases of the Levy (heavy-tailed) spectra. As a particular example, we solve analytically the ensemble C 1 + iC2, where C1 and C2 are free centered random matrix ensembles of the Cauchy class.},\nkeywords={Algorithms;  Computational efficiency;  Matrix algebra;  Spectrum analysis;  Statistical methods, Cauchy class;  Random levy matrices, Random processes},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stationary states in Langevin dynamics under asymmetric Lévy noises.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Sokolov, I.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(4). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Stationary$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20072,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Sokolov, I.M.},\ntitle={Stationary states in Langevin dynamics under asymmetric Lévy noises},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2007},\nvolume={76},\nnumber={4},\ndoi={10.1103/PhysRevE.76.041122},\nart_number={041122},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-35348907397&doi=10.1103%2fPhysRevE.76.041122&partnerID=40&md5=37c7fceb7589b291c7ea7f55a431ac09},\nabstract={Properties of systems driven by white non-Gaussian noises can be very different from these of systems driven by the white Gaussian noise. We investigate stationary probability densities for systems driven by α -stable Lévy-type noises, which provide natural extension to the Gaussian noise having, however, a new property, namely a possibility of being asymmetric. Stationary probability densities are examined for a particle moving in parabolic, quartic, and in generic double well potential models subjected to the action of α -stable noises. Relevant solutions are constructed by methods of stochastic dynamics. In situations where analytical results are known they are compared with numerical results. Furthermore, the problem of estimation of the parameters of stationary densities is investigated. © 2007 The American Physical Society.},\nkeywords={Numerical analysis;  Parameter estimation;  Probability density function;  Problem solving;  Stochastic models, Langevin dynamics;  Potential models;  Stationary probability densities;  Stochastic dynamics, Gaussian noise (electronic)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Cell cycle arrest and aberration yield in normal human fibroblasts. II: Effects of 11 MeV u-1 C ions and 9.9 MeV u-1 Ni ions.\n \n \n \n \n\n\n \n Tenhumberg, S.; Gudowska-Nowak, E.; Nasonova, E.; and Ritter, S.\n\n\n \n\n\n\n International Journal of Radiation Biology, 83(8): 501-513. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Cell$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Tenhumberg2007501,\nauthor={Tenhumberg, S. and Gudowska-Nowak, E. and Nasonova, E. and Ritter, S.},\ntitle={Cell cycle arrest and aberration yield in normal human fibroblasts. II: Effects of 11 MeV u-1 C ions and 9.9 MeV u-1 Ni ions},\njournal={International Journal of Radiation Biology},\nyear={2007},\nvolume={83},\nnumber={8},\npages={501-513},\ndoi={10.1080/09553000701436802},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34447136801&doi=10.1080%2f09553000701436802&partnerID=40&md5=8fcd4f86ab6958e1f02810016331985a},\nabstract={Purpose: To investigate further the relationship between high linear energy transfer (LET) induced cell cycle arrests and the yield of chromosome aberrations observable in normal human fibroblasts at the first post-irradiation mitosis. Materials and methods: Normal human fibroblasts (AG01522C) were exposed in G0/G1 to either 11 MeV u-1 C ions (LET = 153.5 keV μm-1) or 9.9 MeV u-1 Ni ions (LET = 2455 keV μm-1), subcultured in medium containing 5-Bromo-2'-deoxyuridine (BrdU) and at multiple time-points post-irradiation the yield of chromosomal damage, the mitotic index and the cumulative BrdU-labelling index were determined. Furthermore, a mathematical approach was used to analyse the entire cell population. Results: Following high LET exposure normal fibroblasts suffer a transient delay into S-phase and into mitosis as well as a prolonged, probably permanent cell cycle arrest in the initial G0/G1-phase. Cells that reach the first mitosis at early times carried less aberrations than those collected at later times indicating a relationship between cell cycle delay and the number of aberrations. However, with respect to the whole cell population, only a few aberrant fibroblasts are able to progress to the first mitosis. For all endpoints studied the relative biological effectiveness (RBE) of C ions is in the range of 2 - 4, while for Ni ions RBE < 1 is estimated. In contrast, when compared on a per particle basis Ni ions with the higher ionization density were found to be more effective. Conclusions: Detailed analysis of the data demonstrates that the number of fibroblasts at risk for neoplastic transformation is significantly reduced by a chronic cell cycle arrest in the initial G0/G1-phase and, for the first time, the LET-dependence of this effect has been shown. © 2007 Informa UK Ltd.},\nauthor_keywords={Biological dosimetry;  Cell cycle effects;  Chromosome aberrations;  High LET radiation;  Human fibroblasts;  Relative biological effectiveness (RBE)},\nkeywords={carbon;  nickel, article;  cell cycle arrest;  cell cycle G0 phase;  cell cycle G1 phase;  cell cycle S phase;  cell population;  chromosome aberration;  chromosome damage;  controlled study;  fibroblast;  human;  human cell;  linear energy transfer;  mathematical analysis;  mitosis;  mitosis index;  normal human;  priority journal;  relative biologic effectiveness, Bromodeoxyuridine;  Carbon;  Cell Cycle;  Cell Death;  Cells, Cultured;  Chromosome Aberrations;  Dose-Response Relationship, Radiation;  Fibroblasts;  G0 Phase;  G1 Phase;  Humans;  Ions;  Linear Energy Transfer;  Mitosis;  Nickel;  Radiation-Sensitizing Agents;  Relative Biological Effectiveness;  Time Factors},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Quantifying noise induced effects in the generic double-well potential.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5): 1759-1773. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Quantifying$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20071759,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Quantifying noise induced effects in the generic double-well potential},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npages={1759-1773},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37549008561&partnerID=40&md5=8502007628cba921cfe90ab2c668d670},\nabstract={Contrary to conventional wisdom, the transmission and detection of signals, efficiency of kinetics in the presence of fluctuating barriers or system's synchronization to the applied driving may be enhanced by random noise. We have numerically analyzed effects of the addition of external noise to a dynamical system representing a bistable over-damped oscillator and detected constructive influence of noise in the phenomena of resonant activation (RA), stochastic resonance (SR), dynamical hysteresis and noiseinduced stability (NES), We have documented that all above-mentioned effects can be observed in the very same system, although for slightly different regimes of parameters characterizing external periodic driving or (and) noise. Particular emphasis has been given to presentation of various quantifiers of the noise-induced constructive phenomena and their sensitivity to the location and character of the imposed boundary condition.},\nkeywords={Boundary conditions;  Dynamical systems;  Random processes;  Spurious signal noise;  Synchronization, Double well potential;  Noise induced effects;  Noise nduced stability (NES);  Random noise;  Resonant activation (RA);  Stochastic resonance (SR), Signal analysis},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica, Series B: Preface.\n \n \n \n \n\n\n \n Góra, P.; Gudowska-Nowak, E.; and Longa, L.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gora2007,\nauthor={Góra, P. and Gudowska-Nowak, E. and Longa, L.},\ntitle={Acta Physica Polonica, Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npage_count={2},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-57649090717&partnerID=40&md5=46e6be51b5d5fc4a45e4c3078db4f0c2},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape driven by α -stable white noises.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Hänggi, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75(2). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2007,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Hänggi, P.},\ntitle={Escape driven by α -stable white noises},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2007},\nvolume={75},\nnumber={2},\ndoi={10.1103/PhysRevE.75.021109},\nart_number={021109},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33847039916&doi=10.1103%2fPhysRevE.75.021109&partnerID=40&md5=f91e8967e926e817f8d15fea35711a12},\nabstract={We explore the archetype problem of an escape dynamics occurring in a symmetric double well potential when the Brownian particle is driven by white Lévy noise in a dynamical regime where inertial effects can safely be neglected. The behavior of escaping trajectories from one well to another is investigated by pointing to the special character that underpins the noise-induced discontinuity which is caused by the generalized Brownian paths that jump beyond the barrier location without actually hitting it. This fact implies that the boundary conditions for the mean first passage time (MFPT) are no longer determined by the well-known local boundary conditions that characterize the case with normal diffusion. By numerically implementing properly the set up boundary conditions, we investigate the survival probability and the average escape time as a function of the corresponding Lévy white noise parameters. Depending on the value of the skewness β of the Lévy noise, the escape can either become enhanced or suppressed: a negative asymmetry parameter β typically yields a decrease for the escape rate while the rate itself depicts a non-monotonic behavior as a function of the stability index α that characterizes the jump length distribution of Lévy noise, exhibiting a marked discontinuity at α=1. We find that the typical factor of 2 that characterizes for normal diffusion the ratio between the MFPT for well-bottom-to-well-bottom and well-bottom-to-barrier-top no longer holds true. For sufficiently high barriers the survival probabilities assume an exponential behavior versus time. Distinct non-exponential deviations occur, however, for low barrier heights. © 2007 The American Physical Society.},\nkeywords={Asymptotic stability;  Boundary conditions;  Brownian movement;  Probability;  Trajectories;  White noise, Brownian particles;  Brownian path;  Lévy white noise parameters;  Mean first passage time (MFPT), Alpha particles},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Effect of LET and track structure on the statistical distribution of chromosome aberrations.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Lee, R.; Nasonova, E.; Ritter, S.; and Scholz, M.\n\n\n \n\n\n\n Advances in Space Research, 39(6): 1070-1075. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Effect$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak20071070,\nauthor={Gudowska-Nowak, E. and Lee, R. and Nasonova, E. and Ritter, S. and Scholz, M.},\ntitle={Effect of LET and track structure on the statistical distribution of chromosome aberrations},\njournal={Advances in Space Research},\nyear={2007},\nvolume={39},\nnumber={6},\npages={1070-1075},\ndoi={10.1016/j.asr.2007.02.036},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34249705222&doi=10.1016%2fj.asr.2007.02.036&partnerID=40&md5=501f6d7989fe1114d4cdfc68c9a07907},\nabstract={Chromosome aberration data obtained for various types of mammalian cells after exposure to low and high LET radiation clearly demonstrate differences in the energy deposition pattern of both radiation qualities. In the present study we focus on the distributions of chromosome aberrations induced in human peripheral blood lymphocytes after exposure to 990 MeV/u Fe ions (LET = 155 keV/μm) or X-rays. For the analysis three different types of distributions were applied, namely a Poisson distribution, a compound Poisson-Poisson (Neyman type A) distribution and a convoluted Poisson-Neyman distribution. The analysis showed that after low LET radiation the distribution of aberrations can be well described by Poisson statistics, reflecting a simple random distribution of damages as expected according to the homogeneous pattern of energy depositions. In contrast, for particles the energy is deposited spatially very inhomogeneous and concentrated along the ion trajectories. After exposure to high energy, high LET particles where the track radius is much larger than the cell nucleus, best fits to the data were achieved by a convoluted Poisson-Neyman statistics. The analysis indicates that, under this exposure condition, the distribution of aberrations is determined by two independent components. The first component is determined by the damage induced by a center of the tracks and follows the Neyman distribution. The second component is determined by the overlapping part of tracks which in the case of very high energetic particles leads to a "photon-like" background dose and is thus characterized by a Poisson distribution. © 2007 COSPAR.},\nauthor_keywords={Chromosome aberrations;  Ionizing radiation;  Track structure},\nkeywords={Blood;  Characterization;  Poisson distribution;  Radiation effects;  Statistical methods;  X rays, Chromosome aberrations;  Energetic particles;  Energy deposition;  Statistical distribution;  Track structure, Chromosomes},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Ionizing radiation-induced fragmentation of plasmid DNA - Atomic force microscopy and biophysical modeling.\n \n \n \n \n\n\n \n Psonka, K.; Gudowska-Nowak, E.; Brons, S.; Elsässer, T.; Heiss, M.; and Taucher-Scholz, G.\n\n\n \n\n\n\n Advances in Space Research, 39(6): 1043-1049. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Ionizing$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Psonka20071043,\nauthor={Psonka, K. and Gudowska-Nowak, E. and Brons, S. and Elsässer, Th. and Heiss, M. and Taucher-Scholz, G.},\ntitle={Ionizing radiation-induced fragmentation of plasmid DNA - Atomic force microscopy and biophysical modeling},\njournal={Advances in Space Research},\nyear={2007},\nvolume={39},\nnumber={6},\npages={1043-1049},\ndoi={10.1016/j.asr.2007.02.089},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34249666065&doi=10.1016%2fj.asr.2007.02.089&partnerID=40&md5=6a4cd049d2725ed2e362e73234bb5837},\nabstract={It is widely accepted that DNA double-strand breaks (DSBs) are closely correlated with radiation-induced cell killing and are the most critical lesions related to cellular endpoints like mutagenesis and transformation. High linear energy transfer (LET) radiation produces more severe and complex damage due to the fact that induced DSBs are not randomly distributed but clustered at different levels of DNA organization. In this paper, direct visualization of DSBs induced in a plasmid supercoiled DNA by low- and high-LET radiation is presented. Resulting DNA fragments distributions obtained by use of atomic force microscopy (AFM) are shown. Moreover, a biophysical model of spatially correlated DSBs formation in the framework of the Local Effect Model (LEM) is introduced and its predictions on DNA fragment formation are discussed. © 2007 COSPAR.},\nauthor_keywords={Atomic force microscopy;  DNA damage: double strand break;  Ionizing radiation},\nkeywords={Atomic force microscopy;  Energy transfer;  Ionizing radiation;  Mathematical models;  Mutagenesis;  Visualization, Biophysical modeling;  DNA damage;  Linear energy transfer (LET), DNA},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n An exactly solvable nonlinear model: Constructive effects of correlations between Gaussian noises.\n \n \n \n \n\n\n \n Góra, P.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 378(2): 201-210. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"An$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gora2007201,\nauthor={Góra, P.F.},\ntitle={An exactly solvable nonlinear model: Constructive effects of correlations between Gaussian noises},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2007},\nvolume={378},\nnumber={2},\npages={201-210},\ndoi={10.1016/j.physa.2006.10.056},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33847675935&doi=10.1016%2fj.physa.2006.10.056&partnerID=40&md5=1fc40acc30465d8ce088090bf1635fdc},\nabstract={A system with two correlated Gaussian white noises is analysed. This system can describe both stochastic localization and long tails in the stationary distribution. Correlations between the noises can lead to a nonmonotonic behaviour of the variance as function of the intensity of one of the noises and to a stochastic resonance. A method for improving the transmission of external periodic signal by tuning parameters of the system discussed in this paper is proposed. © 2006.},\nauthor_keywords={Correlated Gaussian noises;  Stochastic resonance},\nkeywords={Correlation methods;  Gaussian noise (electronic);  Mathematical models;  Parameter estimation;  Problem solving;  Random processes;  White noise, Stochastic resonance;  Tuning parameters, Nonlinear systems},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Chaos in Newtonian iterations: Searching for zeros which are not there.\n \n \n \n \n\n\n \n Skowronek, Ł.; and Góra, P.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5): 1909-1924. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Chaos$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Skowronek20071909,\nauthor={Skowronek, Ł. and Góra, P.F.},\ntitle={Chaos in Newtonian iterations: Searching for zeros which are not there},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npages={1909-1924},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-43749125088&partnerID=40&md5=4321208be8686afebc8cb6d0338afb27},\nabstract={We show analytically that Newtonian iterations, when applied to a polynomial equation, have a positive topological entropy. In a specific example of an attempt to "find" the real solutions of the equation x 2 + 1 = 0, we show that the Newton method is chaotic. We analytically find the invariant density and show how this problem relates to that of a piecewise linear map.},\nkeywords={Conformal mapping;  Newton-Raphson method;  Problem solving;  Topology, Newtonian iterations;  Topological entropy, Chaos theory},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica, Series B: Preface.\n \n \n \n \n\n\n \n Góra, P.; Gudowska-Nowak, E.; and Longa, L.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gora2007,\nauthor={Góra, P. and Gudowska-Nowak, E. and Longa, L.},\ntitle={Acta Physica Polonica, Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npage_count={2},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-57649090717&partnerID=40&md5=46e6be51b5d5fc4a45e4c3078db4f0c2},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Bimodality and hysteresis in systems driven by confined Lévy flights.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n New Journal of Physics, 9. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Bimodality$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20071,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Bimodality and hysteresis in systems driven by confined Lévy flights},\njournal={New Journal of Physics},\nyear={2007},\nvolume={9},\ndoi={10.1088/1367-2630/9/12/452},\nart_number={452},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37549051714&doi=10.1088%2f1367-2630%2f9%2f12%2f452&partnerID=40&md5=7df09d5334732d550ec082aa07fee035},\nabstract={We demonstrate the occurrence of bimodality and dynamical hysteresis in a system describing an overdamped quartic oscillator perturbed by additive white and asymmetric Lévy noise. Investigated estimators of the stationary probability density profiles display not only a turnover from unimodal to bimodal character but also a change in a relative stability of stationary states that depends on the asymmetry parameter of the underlying noise term. When varying the asymmetry parameter cyclically, the system exhibits a hysteresis in the occupation of a chosen stationary state. © IOP Publishing Ltd and Deutsche Physikalische Gesellscnaft.},\nkeywords={Acoustic variables control;  Hysteresis;  Parameter estimation;  Perturbation techniques, Quartic oscillators;  Stationary probability density profiles;  Stationary states, Probability density function},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stationary states in Langevin dynamics under asymmetric Lévy noises.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Sokolov, I.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76(4). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Stationary$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20072,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Sokolov, I.M.},\ntitle={Stationary states in Langevin dynamics under asymmetric Lévy noises},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2007},\nvolume={76},\nnumber={4},\ndoi={10.1103/PhysRevE.76.041122},\nart_number={041122},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-35348907397&doi=10.1103%2fPhysRevE.76.041122&partnerID=40&md5=37c7fceb7589b291c7ea7f55a431ac09},\nabstract={Properties of systems driven by white non-Gaussian noises can be very different from these of systems driven by the white Gaussian noise. We investigate stationary probability densities for systems driven by α -stable Lévy-type noises, which provide natural extension to the Gaussian noise having, however, a new property, namely a possibility of being asymmetric. Stationary probability densities are examined for a particle moving in parabolic, quartic, and in generic double well potential models subjected to the action of α -stable noises. Relevant solutions are constructed by methods of stochastic dynamics. In situations where analytical results are known they are compared with numerical results. Furthermore, the problem of estimation of the parameters of stationary densities is investigated. © 2007 The American Physical Society.},\nkeywords={Numerical analysis;  Parameter estimation;  Probability density function;  Problem solving;  Stochastic models, Langevin dynamics;  Potential models;  Stationary probability densities;  Stochastic dynamics, Gaussian noise (electronic)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Emergence of bimodality in noisy systems with single-well potential.\n \n \n \n \n\n\n \n Dybiec, B.; and Schimansky-Geier, L.\n\n\n \n\n\n\n European Physical Journal B, 57(3): 313-320. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Emergence$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2007313,\nauthor={Dybiec, B. and Schimansky-Geier, L.},\ntitle={Emergence of bimodality in noisy systems with single-well potential},\njournal={European Physical Journal B},\nyear={2007},\nvolume={57},\nnumber={3},\npages={313-320},\ndoi={10.1140/epjb/e2007-00162-y},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34547287337&doi=10.1140%2fepjb%2fe2007-00162-y&partnerID=40&md5=2e9b4c85c5a48582362ca052a2d8fcb6},\nabstract={We study the stationary probability density of a Brownian particle in a potential with a single-well subject to the purely additive thermal and dichotomous noise sources. We find situations where bimodality of stationary densities emerges due to presence of dichotomous noise. The solutions are constructed using stochastic dynamics (Langevin equation) or by discretization of the corresponding Fokker-Planck equations. We find that in models with both noises being additive the potential has to grow faster than |x| in order to obtain bimodality. For potentials ∞|x| stationary solutions are always of the double exponential form. © EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007.},\nkeywords={Bimodality;  Brownian particle;  Dichotomous noise sources;  Probability density, Brownian movement;  Fokker Planck equation;  Mathematical models;  Probability density function;  Thermal noise, Additive noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Quantifying noise induced effects in the generic double-well potential.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Acta Physica Polonica B, 38(5): 1759-1773. 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Quantifying$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20071759,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Quantifying noise induced effects in the generic double-well potential},\njournal={Acta Physica Polonica B},\nyear={2007},\nvolume={38},\nnumber={5},\npages={1759-1773},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37549008561&partnerID=40&md5=8502007628cba921cfe90ab2c668d670},\nabstract={Contrary to conventional wisdom, the transmission and detection of signals, efficiency of kinetics in the presence of fluctuating barriers or system's synchronization to the applied driving may be enhanced by random noise. We have numerically analyzed effects of the addition of external noise to a dynamical system representing a bistable over-damped oscillator and detected constructive influence of noise in the phenomena of resonant activation (RA), stochastic resonance (SR), dynamical hysteresis and noiseinduced stability (NES), We have documented that all above-mentioned effects can be observed in the very same system, although for slightly different regimes of parameters characterizing external periodic driving or (and) noise. Particular emphasis has been given to presentation of various quantifiers of the noise-induced constructive phenomena and their sensitivity to the location and character of the imposed boundary condition.},\nkeywords={Boundary conditions;  Dynamical systems;  Random processes;  Spurious signal noise;  Synchronization, Double well potential;  Noise induced effects;  Noise nduced stability (NES);  Random noise;  Resonant activation (RA);  Stochastic resonance (SR), Signal analysis},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Escape driven by α -stable white noises.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Hänggi, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75(2). 2007.\n \n\n\n\n
\n\n\n\n \n \n $\"Escape$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2007,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Hänggi, P.},\ntitle={Escape driven by α -stable white noises},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2007},\nvolume={75},\nnumber={2},\ndoi={10.1103/PhysRevE.75.021109},\nart_number={021109},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33847039916&doi=10.1103%2fPhysRevE.75.021109&partnerID=40&md5=f91e8967e926e817f8d15fea35711a12},\nabstract={We explore the archetype problem of an escape dynamics occurring in a symmetric double well potential when the Brownian particle is driven by white Lévy noise in a dynamical regime where inertial effects can safely be neglected. The behavior of escaping trajectories from one well to another is investigated by pointing to the special character that underpins the noise-induced discontinuity which is caused by the generalized Brownian paths that jump beyond the barrier location without actually hitting it. This fact implies that the boundary conditions for the mean first passage time (MFPT) are no longer determined by the well-known local boundary conditions that characterize the case with normal diffusion. By numerically implementing properly the set up boundary conditions, we investigate the survival probability and the average escape time as a function of the corresponding Lévy white noise parameters. Depending on the value of the skewness β of the Lévy noise, the escape can either become enhanced or suppressed: a negative asymmetry parameter β typically yields a decrease for the escape rate while the rate itself depicts a non-monotonic behavior as a function of the stability index α that characterizes the jump length distribution of Lévy noise, exhibiting a marked discontinuity at α=1. We find that the typical factor of 2 that characterizes for normal diffusion the ratio between the MFPT for well-bottom-to-well-bottom and well-bottom-to-barrier-top no longer holds true. For sufficiently high barriers the survival probabilities assume an exponential behavior versus time. Distinct non-exponential deviations occur, however, for low barrier heights. © 2007 The American Physical Society.},\nkeywords={Asymptotic stability;  Boundary conditions;  Brownian movement;  Probability;  Trajectories;  White noise, Brownian particles;  Brownian path;  Lévy white noise parameters;  Mean first passage time (MFPT), Alpha particles},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2006\n \n \n (10)\n \n \n

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\n \n\n \n \n \n \n \n \n Erratum: Minimal coupling model of the biaxial nematic phase (Phys. Rev. E (2005) 71 (051714)).\n \n \n \n \n\n\n \n Longa, L.; Grzybowski, P.; Romano, S.; and Virga, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73(1). 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Erratum:$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa2006,\nauthor={Longa, L. and Grzybowski, P. and Romano, S. and Virga, E.},\ntitle={Erratum: Minimal coupling model of the biaxial nematic phase (Phys. Rev. E (2005) 71 (051714))},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2006},\nvolume={73},\nnumber={1},\ndoi={10.1103/PhysRevE.73.019904},\nart_number={019904},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-32844472261&doi=10.1103%2fPhysRevE.73.019904&partnerID=40&md5=986a3218aed86d5d2479ee5af29dba81},\ndocument_type={Erratum},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response.\n \n \n \n \n\n\n \n Fiasconaro, A.; Spagnolo, B.; Ochab-Marcinek, A.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74(4). 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Co-occurrence$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Fiasconaro2006,\nauthor={Fiasconaro, A. and Spagnolo, B. and Ochab-Marcinek, A. and Gudowska-Nowak, E.},\ntitle={Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2006},\nvolume={74},\nnumber={4},\ndoi={10.1103/PhysRevE.74.041904},\nart_number={041904},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33749618702&doi=10.1103%2fPhysRevE.74.041904&partnerID=40&md5=a2a0126c871980e4605c07a177bf80bb},\nabstract={We investigate a stochastic version of a simple enzymatic reaction which follows the generic Michaelis-Menten kinetics. At sufficiently high concentrations of reacting species, that represent here populations of cells involved in cancerous proliferation and cytotoxic response of the immune system, the overall kinetics can be approximated by a one-dimensional overdamped Langevin equation. The modulating activity of the immune response is here modeled as a dichotomous random process of the relative rate of neoplastic cell destruction. We discuss physical aspects of environmental noises acting in such a system, pointing out the possibility of coexistence of dynamical regimes where noise-enhanced stability and resonant activation phenomena can be observed together. We explain the underlying mechanisms by analyzing the behavior of the variance of first passage times as a function of the noise intensity. © 2006 The American Physical Society.},\nkeywords={Enzymatic reaction;  Immune response;  Noise intensity;  Resonant activation, Cells;  Growth kinetics;  Immunology;  Tumors, Enzyme kinetics, immunologic factor, animal;  article;  biological model;  cell proliferation;  computer simulation;  human;  immunology;  innate immunity;  neoplasm;  pathophysiology;  signal transduction;  statistical model;  statistics, Animals;  Cell Proliferation;  Computer Simulation;  Humans;  Immunity, Natural;  Immunologic Factors;  Models, Immunological;  Models, Statistical;  Neoplasms;  Signal Transduction;  Stochastic Processes},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic resonance: The role of α-stable noises.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Dybiec20061479,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Stochastic resonance: The role of α-stable noises},\njournal={Acta Physica Polonica B},\nyear={2006},\nvolume={37},\nnumber={5},\npages={1479-1490},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33745963089&partnerID=40&md5=8e960b135094fa867a693cea4902e771},\nabstract={In order to document and discuss the widespread presence in nature of the stochastic resonance phenomenon (SR), we investigate the generic double-well potential model perturbed by the α-stable Lévy type noises. Despite possible infinite variance characteristics of the noise term, the SR effect still occurs and can be detected by common quantifiers used in the studies of the phenomenon. The robustness of the SR is examined by use of standard measures within a continuous and a two-state description of the system. Since the α-stable noises are characterized by a whole set of parameters, our research focuses on the analysis of the influence of noise parameters on a shape of the signal-to-noise ratio and spectral power amplification curves, revealing presence of the SR in the system at hand. Examination of the driving noise asymmetry indicates that the resonant response weakens when the symmetric noises with a decreasing value of the stability index α are applied.},\nkeywords={Acoustic noise;  Amplification;  Mathematical models;  Parameter estimation;  Random processes;  Robustness (control systems);  Signal to noise ratio, Spectral power amplification;  State description;  Stochastic resonance (SR), Resonance},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Coexistence of resonant activation and noise enhanced stability in a model of tumor-host interaction: Statistics of extinction times.\n \n \n \n \n\n\n \n Ochab-Marcinek, A.; Gudowska-Nowak, E.; Fiasconaro, A.; and Spagnolo, B.\n\n\n \n\n\n\n 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Coexistence$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Ochab-Marcinek20061651,\nauthor={Ochab-Marcinek, A. and Gudowska-Nowak, E. and Fiasconaro, A. and Spagnolo, B.},\ntitle={Coexistence of resonant activation and noise enhanced stability in a model of tumor-host interaction: Statistics of extinction times},\njournal={Acta Physica Polonica B},\nyear={2006},\nvolume={37},\nnumber={5},\npages={1651-1666},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33746088008&partnerID=40&md5=821656e119d60b3442fc25f3d63a8046},\nabstract={We study a Langevin equation derived from the Michaelis-Menten (MM) phenomenological scheme for catalysis accompanying a spontaneous replication of molecules, which may serve as a simple model of cell-mediated immune surveillance against cancer. We examine how two different and statistically independent sources of noise - dichotomous multiplicative noise and additive Gaussian white noise - influence the population's extinction time. This quantity is identified as the mean first passage time of the system across the zero population state. We observe the effects of resonant activation (RA) and noise-enhanced stability (NES) and we report the evidence for competitive co-occurrence of both phenomena in a given regime of noise parameters. We discuss the statistics of first passage times in this regime and the role of different pseudo-potential profiles on the RA and NES phenomena. The RA/NES coexistence region brings an interesting interpretation for the growth kinetics of cancer cells population, as the NES effect enhancing the stability of the tumoral state becomes strongly reduced by the RA phenomenon.},\nkeywords={Cells;  Disease control;  Gaussian noise (electronic);  Immunology, Cancer cells;  Immune surveillance;  Michaelis-Menten (MM) phenomenological scheme;  Tumor-host interaction, Tumors},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica, Series B: Preface.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Fuliński, A.; Hänggi, P.; and Łuczka, J.\n\n\n \n\n\n\n 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak2006,\nauthor={Gudowska-Nowak, E. and Fuliński, A. and Hänggi, P. and Łuczka, J.},\ntitle={Acta Physica Polonica, Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2006},\nvolume={37},\nnumber={5},\npages={i-ii},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33745940976&partnerID=40&md5=e6c58c1365f1ba147fa20b6e26a3ec0c},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy-Brownian motion on finite intervals: Mean first passage time analysis.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Hänggi, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73(4). 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy-Brownian$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2006,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Hänggi, P.},\ntitle={Lévy-Brownian motion on finite intervals: Mean first passage time analysis},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2006},\nvolume={73},\nnumber={4},\ndoi={10.1103/PhysRevE.73.046104},\nart_number={046104},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33645653794&doi=10.1103%2fPhysRevE.73.046104&partnerID=40&md5=bf45e5f4784b272cc8b9918048065580},\nabstract={We present the analysis of the first passage time problem on a finite interval for the generalized Wiener process that is driven by Lévy stable noises. The complexity of the first passage time statistics (mean first passage time, cumulative first passage time distribution) is elucidated together with a discussion of the proper setup of corresponding boundary conditions that correctly yield the statistics of first passages for these non-Gaussian noises. The validity of the method is tested numerically and compared against analytical formulas when the stability index α approaches 2, recovering in this limit the standard results for the Fokker-Planck dynamics driven by Gaussian white noise. © 2006 The American Physical Society.},\nkeywords={Fokker-Planck dynamics;  Non-Gaussian noises;  Wiener process, Boundary conditions;  Computational complexity;  White noise, Brownian movement},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Economic and social factors in designing disease control strategies for epidemics on networks.\n \n \n \n \n\n\n \n Kleczkowski, A.; Dybiec, B.; and Gilligan, C.\n\n\n \n\n\n\n 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Economic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Kleczkowski20063017,\nauthor={Kleczkowski, A. and Dybiec, B. and Gilligan, C.A.},\ntitle={Economic and social factors in designing disease control strategies for epidemics on networks},\njournal={Acta Physica Polonica B},\nyear={2006},\nvolume={37},\nnumber={11},\npages={3017-3026},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33845518983&partnerID=40&md5=a8fdb7b4ce92cb51a04d41ca1238bc3b},\nabstract={Models for control of epidemics on local, global and small-world networks are considered, with only partial information accessible about the status of individuals and their connections. The main goal of an effective control measure is to stop the epidemic at a lowest possible cost, including treatment and cost necessary to track the disease spread. We show that delay in detection of infectious individuals and presence of long-range links are the most important factors determining the cost. However, the details of long-range links are usually the least-known element of the social interactions due to their occasional character and potentially short life-span. We show that under some conditions on the probability of disease spread, it is advisable to attempt to track those links, even if this involves additional costs. Thus, collecting some additional knowledge about the network structure might be beneficial to ensure a successful and cost-effective control.},\nkeywords={Cost effectiveness;  Disease control;  Epidemiology;  Information retrieval;  Knowledge acquisition;  Probability, Epidemics;  Network structure;  Social interactions, Economic and social effects},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic resonance vs. resonant activation.\n \n \n \n \n\n\n \n Schmitt, C.; Dybiec, B.; Hänggi, P.; and Bechinger, C.\n\n\n \n\n\n\n Europhysics Letters, 74(6): 937-943. 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Schmitt2006937,\nauthor={Schmitt, C. and Dybiec, B. and Hänggi, P. and Bechinger, C.},\ntitle={Stochastic resonance vs. resonant activation},\njournal={Europhysics Letters},\nyear={2006},\nvolume={74},\nnumber={6},\npages={937-943},\ndoi={10.1209/epl/i2006-10052-6},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33745650477&doi=10.1209%2fepl%2fi2006-10052-6&partnerID=40&md5=17de6b548fdf0a7fceb65e7e619907cb},\nabstract={The phenomenon of stochastic resonance by which it is possible to boost the transduction of information by tuning into noise is experimentally and numerically contrasted with the phenomenon of resonant activation, i.e. the occurrence of a minimal, averaged residence time at an optimal time-scale in the presence of barrier modulations. The experimental system consists of a periodically modulated bistable colloidal Brownian dynamics. Interestingly enough, the two phenomena may occur simultaneously in the same system, although typically in quite different parameter regimes. © EDP Sciences.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic resonance: The role of α-stable noises.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Dybiec20061479,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Stochastic resonance: The role of α-stable noises},\njournal={Acta Physica Polonica B},\nyear={2006},\nvolume={37},\nnumber={5},\npages={1479-1490},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33745963089&partnerID=40&md5=8e960b135094fa867a693cea4902e771},\nabstract={In order to document and discuss the widespread presence in nature of the stochastic resonance phenomenon (SR), we investigate the generic double-well potential model perturbed by the α-stable Lévy type noises. Despite possible infinite variance characteristics of the noise term, the SR effect still occurs and can be detected by common quantifiers used in the studies of the phenomenon. The robustness of the SR is examined by use of standard measures within a continuous and a two-state description of the system. Since the α-stable noises are characterized by a whole set of parameters, our research focuses on the analysis of the influence of noise parameters on a shape of the signal-to-noise ratio and spectral power amplification curves, revealing presence of the SR in the system at hand. Examination of the driving noise asymmetry indicates that the resonant response weakens when the symmetric noises with a decreasing value of the stability index α are applied.},\nkeywords={Acoustic noise;  Amplification;  Mathematical models;  Parameter estimation;  Random processes;  Robustness (control systems);  Signal to noise ratio, Spectral power amplification;  State description;  Stochastic resonance (SR), Resonance},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lévy-Brownian motion on finite intervals: Mean first passage time analysis.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Hänggi, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73(4). 2006.\n \n\n\n\n
\n\n\n\n \n \n $\"Lévy-Brownian$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2006,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Hänggi, P.},\ntitle={Lévy-Brownian motion on finite intervals: Mean first passage time analysis},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2006},\nvolume={73},\nnumber={4},\ndoi={10.1103/PhysRevE.73.046104},\nart_number={046104},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33645653794&doi=10.1103%2fPhysRevE.73.046104&partnerID=40&md5=bf45e5f4784b272cc8b9918048065580},\nabstract={We present the analysis of the first passage time problem on a finite interval for the generalized Wiener process that is driven by Lévy stable noises. The complexity of the first passage time statistics (mean first passage time, cumulative first passage time distribution) is elucidated together with a discussion of the proper setup of corresponding boundary conditions that correctly yield the statistics of first passages for these non-Gaussian noises. The validity of the method is tested numerically and compared against analytical formulas when the stability index α approaches 2, recovering in this limit the standard results for the Fokker-Planck dynamics driven by Gaussian white noise. © 2006 The American Physical Society.},\nkeywords={Fokker-Planck dynamics;  Non-Gaussian noises;  Wiener process, Boundary conditions;  Computational complexity;  White noise, Brownian movement},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2005\n \n \n (18)\n \n \n

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\n \n\n \n \n \n \n \n \n Structure of chiral isotropic phases.\n \n \n \n \n\n\n \n Józefowicz, W.; Cieśla, M.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals, 438: 9/[1573]-16/[1580]. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Structure$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Jozefowicz2005,\nauthor={Józefowicz, W. and Cieśla, M. and Longa, L.},\ntitle={Structure of chiral isotropic phases},\njournal={Molecular Crystals and Liquid Crystals},\nyear={2005},\nvolume={438},\npages={9/[1573]-16/[1580]},\ndoi={10.1080/15421400590954948},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33644750371&doi=10.1080%2f15421400590954948&partnerID=40&md5=bdaec4d072f1fea8934eb14e9aa499ee},\nabstract={We present computer simulation studies of the model chiral liquid crystal as introduced by Memmer [1,2]. The analysis of resulting structures is based on the two-point correlation modes [3] and on calculations of the excess specific heat. Our aim is to characterize the isotropic phases and to search for a critical point between the isotropic liquid and BPIII.},\nauthor_keywords={Chiral liquid;  Correlations;  MC simulation},\nkeywords={Computer simulation;  Crystal structure;  Optical correlation;  Specific heat, Chiral liquid;  Correlations;  MC simulation, Liquid crystals},\ncorrespondence_address1={Józefowicz, W.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, Kraków, Poland; email: wojtek@dalidor.if.uj.edu.pl},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Luckhurst-Romano model of thermotropic biaxial nematic phase.\n \n \n \n \n\n\n \n Longa, L.; and Pająk, G.\n\n\n \n\n\n\n Liquid Crystals, 32(11-12): 1409-1417. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Luckhurst-Romano$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa20051409,\nauthor={Longa, L. and Pająk, G.},\ntitle={Luckhurst-Romano model of thermotropic biaxial nematic phase},\njournal={Liquid Crystals},\nyear={2005},\nvolume={32},\nnumber={11-12},\npages={1409-1417},\ndoi={10.1080/02678290500167873},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-30344450376&doi=10.1080%2f02678290500167873&partnerID=40&md5=d84d57691f18edf9bf8a666833417688},\nabstract={Recent experiments show that the long looked for thermotropic biaxial nematic phase is finally stabilized in a low mass liquid crystalline system. Inspired by this experimental observation we concentrate on some theoretical issues concerned with this phase. In particular we show that the simplest Lebwohl-Lasher biaxial model, as introduced by Luckhurst and Romano, is consistent with the minimal coupling Landau-de Gennes phenomenological approach. The model shows a rich spectrum of possibilities, in particular a direct isotropic-biaxial nematic phase transition. A possible bridge between molecular and phenomenological approaches, in particular an interpretation of the alignment tensor, is discussed. © 2005 Taylor & Francis.},\ncorrespondence_address1={Marian Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Reymonta 4, Kraków, Poland; email: longa@th.if.uj.edu.pl},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica Series B: Preface.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Grzywna, Z.; Longa, L.; and Łuczka, J.\n\n\n \n\n\n\n 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak2005,\nauthor={Gudowska-Nowak, E. and Grzywna, Z. and Longa, L. and Łuczka, J.},\ntitle={Acta Physica Polonica Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2005},\nvolume={36},\nnumber={5},\npages={i},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33644971618&partnerID=40&md5=39e11e6e253d281e2a391aec8a4f71f3},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Minimal coupling model of the biaxial nematic phase.\n \n \n \n \n\n\n \n Longa, L.; Grzybowski, P.; Romano, S.; and Virga, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 71(5). 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Minimal$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa2005,\nauthor={Longa, L. and Grzybowski, P. and Romano, S. and Virga, E.},\ntitle={Minimal coupling model of the biaxial nematic phase},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2005},\nvolume={71},\nnumber={5},\ndoi={10.1103/PhysRevE.71.051714},\nart_number={051714},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-26944487562&doi=10.1103%2fPhysRevE.71.051714&partnerID=40&md5=32023ae6ef46d3c6900db8289a7f8073},\nabstract={A minimal coupling model exhibiting isotropic, uniaxial, and biaxial nematic phases is analyzed in detail and its relation to existing models known in the literature is clarified. Its intrinsic symmetry properties are exploited to restrict the relevant ranges of coupling constants. Further on, properties of the model are thoroughly investigated by means of bifurcation theory as proposed by Kayser and Raveché [Phys. Rev. A 17, 2067 (1978)] and Mulder [Phys. Rev. A 39, 360 (1989)]. As a first step toward this goal, the bifurcation theory is applied to a general formulation of density functional theory in terms of direct correlation functions. On a general formal level, the theory is then analyzed to show that the bifurcation points from the reference, high-symmetry equilibrium phase to a low-symmetry structure depend only on the properties of the one-particle distribution function and the direct pair correlation function of the reference phase. The character of the bifurcation (whether spinodal, critical, tricritical, isolated Landau point, etc.) depends, in addition, on a few higher-order direct correlation functions. Explicit analytical results are derived for the case when only the leading L=2 terms of the potential (mean-field analysis) or of the direct pair correlation function expansion in the symmetry-adapted basis are retained. Formulas are compared with the numerical calculations for the mean-field, momentum L=2 potential model, in which case they are exact. In particular, bifurcations from the isotropic and uniaxial nematic to the biaxial nematic phases are discussed. The possibility of the recently reported nematic uniaxial-nematic biaxial tricritical point [A. M. Sonnet, E. G. Virga, and G. E. Durand, Phys. Rev. E 67, 061701 (2003)] is analyzed as well. © 2005 The American Physical Society.},\nkeywords={Biaxial nematic phases;  Coupling model;  High-symmetry equilibrium phase;  Isotropics, Bifurcation (mathematics);  Correlation methods;  Probability density function;  Theorem proving, Nematic liquid crystals},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, Poland; email: lech@alek.if.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Nematic-smectic-A phase boundary of ideally oriented Gay-Berne system: Local density functional versus isothermal-isobaric Monte Carlo simulation.\n \n \n \n \n\n\n \n Józefowicz, W.; Cholewiak, G.; and Longa, L.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 71(3). 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Nematic-smectic-A$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Jozefowicz2005,\nauthor={Józefowicz, W. and Cholewiak, G. and Longa, L.},\ntitle={Nematic-smectic-A phase boundary of ideally oriented Gay-Berne system: Local density functional versus isothermal-isobaric Monte Carlo simulation},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2005},\nvolume={71},\nnumber={3},\ndoi={10.1103/PhysRevE.71.032701},\nart_number={032701},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-41349098985&doi=10.1103%2fPhysRevE.71.032701&partnerID=40&md5=ebddbe287444599ade21b56dc643d47b},\nabstract={The main focus of the present paper is on studying the nematic-smectic-A phase boundary of an ideally oriented Gay-Berne system. The phase diagram is determined by means of an isothermal-isobaric Monte Carlo simulation. The results are compared with predictions of the local density functional expanded up to second and third order in the one-particle distribution function. It is shown that generally the second-order expansion does not give satisfactory predictions for smectics. Going beyond the leading order yields good quantitative agreement at moderate densities. With increasing density the relative error of the local density functional calculations increases, but usually does not exceed 10\\% in densities. We conclude that the density functional approach could be competitive to time-consuming simulations in determining phase diagrams of spatially and orientationally ordered liquid crystalline structures. © 2005 The American Physical Society.},\nkeywords={Gay-Berne system;  Isothermal-isobaric ensemble simulation;  Lennard-Jones potential;  Pair interactions, Anisotropy;  Approximation theory;  Computer simulation;  Monte Carlo methods;  Nematic liquid crystals;  Phase diagrams;  Probability density function;  Smectic liquid crystals, Molecular dynamics},\ncorrespondence_address1={Józefowicz, W.; Department of Statistical Physics, Marian Smoluchowski Inst. of Physics, Jagellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Distribution of DNA fragment sizes after irradiation with heavy ions.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Psonka, K.; Brons, S.; and Taucher-Scholz, G.\n\n\n \n\n\n\n 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Distribution$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak2005110,\nauthor={Gudowska-Nowak, E. and Psonka, K. and Brons, S. and Taucher-Scholz, G.},\ntitle={Distribution of DNA fragment sizes after irradiation with heavy ions},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={2005},\nvolume={5841},\npages={110-116},\ndoi={10.1117/12.611827},\nart_number={16},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-28344452784&doi=10.1117%2f12.611827&partnerID=40&md5=754cee4c773f69989e093de942d864bd},\nabstract={Ionizing radiation is responsible for production of double strand breaks (DSB) in a DNA structure. In contrast to sparsely ionizing radiation, densely ionizing radiation produces DSBs that are nonrandomly distributed along the DNA molecule and can form clusters of various size. The paper discusses minimalistic models that describe observable pattern of distribution of fragment lengths in DNA segments irradiated with heavy ions and applies the formalism to interpret the recent experimental data collected by use of the atomic force microscope (AFM).},\nkeywords={Atomic force microscopy;  Heavy ions;  Ionization;  Mathematical models;  Radiation effects, Double strand breaks (DSB);  Fragment lengths;  Fragment sizes, DNA},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Hopping models of charge transfer in a complex environment: Coupled memory continuous-time random walk approach.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Bochenek, K.; Jurlewicz, A.; and Weron, K.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72(6). 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Hopping$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak20050,\nauthor={Gudowska-Nowak, E. and Bochenek, K. and Jurlewicz, A. and Weron, K.},\ntitle={Hopping models of charge transfer in a complex environment: Coupled memory continuous-time random walk approach},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2005},\nvolume={72},\nnumber={6},\ndoi={10.1103/PhysRevE.72.061101},\nart_number={061101},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-28844481104&doi=10.1103%2fPhysRevE.72.061101&partnerID=40&md5=4226da0d0e647d8626a271caed7ae26d},\nabstract={Charge transport processes in disordered complex media are accompanied by anomalously slow relaxation for which usually a broad distribution of relaxation times is adopted. To account for those properties of the environment, a standard kinetic approach in description of the system is addressed either in the framework of continuous-time random walks (CTRWs) or fractional diffusion. In this paper the power of the CTRW approach is illustrated by use of the probabilistic formalism and limit theorems that allow one to rigorously predict the limiting distributions of the paths traversed by charges and to derive effective relaxation properties of the entire system of interest. In particular, the standard CTRW scenario is generalized to a new class of coupled memory CTRWs that effectivly can lead to the well known Havriliak-Negami response. Application of the method is discussed for nonexponential electron-transfer processes controlled by dynamics of the surrounding medium. © 2005 The American Physical Society.},\nkeywords={Continuous-time random walks (CTRW);  Havriliak-Negami responses;  Hopping models;  Probabilistic formalism, Chemical relaxation;  Diffusion;  Kinetic theory;  Mathematical models;  Molecular dynamics;  Probabilistic logics, Charge transfer},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Diffusion of DNA molecules in gel at high electric fields.\n \n \n \n \n\n\n \n Pasciak, P.; Krawczyk, M.; Gudowska-Nowak, E.; and Kulakowski, K.\n\n\n \n\n\n\n Journal of Biological Physics, 31(3-4): 365-373. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Diffusion$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Pasciak2005365,\nauthor={Pasciak, P. and Krawczyk, M.J. and Gudowska-Nowak, E. and Kulakowski, K.},\ntitle={Diffusion of DNA molecules in gel at high electric fields},\njournal={Journal of Biological Physics},\nyear={2005},\nvolume={31},\nnumber={3-4},\npages={365-373},\ndoi={10.1007/s10867-005-7287-2},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-28744432533&doi=10.1007%2fs10867-005-7287-2&partnerID=40&md5=dc3d74affa3150521e5cd2eb7cadcccb},\nabstract={Problems related to the gel electrophoretic migration of polymers can be investigated by models based on a Brownian-type ratchet where a particle can undergo a net transport on a potential energy surface that is externally driven to fluctuate between several distinct states. Here we describe the method of polymer transport and separation by means of the cellular automata technique. Numerical simulations of the polymer reptation in the model system allow us to understand the band-broadening processes in the gel electrophoresis experiments. They indicate also possible ways of fine-tuning the parameters in designing desired resolution of the experiments. © Springer 2005.},\nauthor_keywords={Ratchet systems;  Reptation model;  Transport coefficients},\nkeywords={polymer, automation;  conference paper;  diffusion;  diffusion coefficient;  electric field;  experiment;  gel;  gel electrophoresis;  mathematical analysis;  methodology;  molecule;  nonhuman;  parameter;  priority journal;  separation technique;  technique;  tuning curve},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Hysteresis and synchronization in a two-level system driven by external noise.\n \n \n \n \n\n\n \n Juraszek, J.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Fluctuation and Noise Letters, 5(2): L259-L266. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Hysteresis$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Juraszek2005,\nauthor={Juraszek, J. and Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Hysteresis and synchronization in a two-level system driven by external noise},\njournal={Fluctuation and Noise Letters},\nyear={2005},\nvolume={5},\nnumber={2},\npages={L259-L266},\ndoi={10.1142/S021947750500263X},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-23744453169&doi=10.1142%2fS021947750500263X&partnerID=40&md5=1e0fa496560c1476b01a260188373cd5},\nabstract={The paper discusses a combined effect of periodic and random perturbations on the onset of hysteresis in a generic two-state system. The interplay of both noises is investigated pointing out variations in signal tuning to the external driving force and their influence on the area and shape of the hysteresis. As an extension to former studies relating dynamic hysteresis to stochastic resonance and synchronization of passages in a double well system, in the present work the effect of the field asymmetry on the response of the system is analyzed. © World Scientific Publishing Company.},\nauthor_keywords={Mean first passage time;  Resonance;  Resonant activation;  Stochastic hysteresis;  Synchronization},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Induction of DNA damage by heavy ions measured by atomic force microscopy.\n \n \n \n \n\n\n \n Psonka, K.; Brons, S.; Heiss, M.; Gudowska-Nowak, E.; and Taucher-Scholz, G.\n\n\n \n\n\n\n Journal of Physics Condensed Matter, 17(18): S1443-S1446. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Induction$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Psonka2005,\nauthor={Psonka, K. and Brons, S. and Heiss, M. and Gudowska-Nowak, E. and Taucher-Scholz, G.},\ntitle={Induction of DNA damage by heavy ions measured by atomic force microscopy},\njournal={Journal of Physics Condensed Matter},\nyear={2005},\nvolume={17},\nnumber={18},\npages={S1443-S1446},\ndoi={10.1088/0953-8984/17/18/002},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-24144501093&doi=10.1088%2f0953-8984%2f17%2f18%2f002&partnerID=40&md5=a46a932a3763f3994c1d6c02d450d75a},\nabstract={According to the experimental evidence damage induced by densely ionizing radiation in chromosomes and DNA molecules is distributed in the form of clusters. The most critical type of DNA damage is double-strand breaks (DSBs) which are formed when breaks occur in both DNA strands and are directly opposite or separated by only a few base pairs. This paper reports on the direct visualization of DSBs induced in a plasmid DNA molecule by ionizing radiation and the measurement of produced DNA fragments by use of atomic force microscopy (AFM). Our results show an influence of radiation quality on the DSB production. © 2005 IOP Publishing Ltd.},\nkeywords={Atomic force microscopy;  DNA;  Ionizing radiation;  Molecular dynamics;  Plasmas;  Visualization, Double-strand breaks;  Double-strand breaks (DSB);  Plasmids;  Radiation quality, Heavy ions},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Diffusion coefficient in an electrophoretic asymmetrically tilting ratchet.\n \n \n \n \n\n\n \n Paściak, P.; KuŁakowski, K.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Diffusion$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Pasciak20051737,\nauthor={Paściak, P. and KuŁakowski, K. and Gudowska-Nowak, E.},\ntitle={Diffusion coefficient in an electrophoretic asymmetrically tilting ratchet},\njournal={Acta Physica Polonica B},\nyear={2005},\nvolume={36},\nnumber={5},\npages={1737-1743},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33644971105&partnerID=40&md5=571c453a725e8d10b4e3d3ec754642e0},\nabstract={We use the cellular-automaton Duke-Rubinstein model to simulate gel electrophoresis of DNA in periodically changing electric field. The field is dichotomic and its time average is zero. We observe non-vanishing current of molecules, what is known as the ratchet effect. We calculate the drift velocity and the diffusion coefficient for large field amplitude, where nonlinear effects can be observed. The results indicate that tuning the amplitude and frequency of the applied field for a given range of the molecule length can improve the resolving power of the separation of DNA.},\nkeywords={DNA;  Electric field effects;  Electrophoresis;  Gels;  Mathematical models;  Natural frequencies, Drift velocity;  Duke-Rubinstein model;  Gel electrophoresis, Diffusion},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica Series B: Preface.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Grzywna, Z.; Longa, L.; and Łuczka, J.\n\n\n \n\n\n\n 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak20051,\nauthor={Gudowska-Nowak, E. and Grzywna, Z. and Longa, L. and Łuczka, J.},\ntitle={Acta Physica Polonica Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2005},\nvolume={36},\nnumber={5},\npages={i},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33644971618&partnerID=40&md5=39e11e6e253d281e2a391aec8a4f71f3},\ndocument_type={Editorial},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Correlation between mitotic delay and aberration burden, and their role for the analysis of chromosomal damage.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Kleczkowski, A.; Nasonova, E.; Scholz, M.; and Ritter, S.\n\n\n \n\n\n\n International Journal of Radiation Biology, 81(1): 23-32. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Correlation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak200523,\nauthor={Gudowska-Nowak, E. and Kleczkowski, A. and Nasonova, E. and Scholz, M. and Ritter, S.},\ntitle={Correlation between mitotic delay and aberration burden, and their role for the analysis of chromosomal damage},\njournal={International Journal of Radiation Biology},\nyear={2005},\nvolume={81},\nnumber={1},\npages={23-32},\ndoi={10.1080/09553000400027902},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-18744373654&doi=10.1080%2f09553000400027902&partnerID=40&md5=6453ac082e578e20c07cdd936f1f786f},\nabstract={The aim was to investigate further the relationship between radiation-induced mitotic delay and the expression of chromosome damage in V79 cells. Recently published data on the time-course of chromosome aberrations in V79 first-cycle metaphases after exposure to 10.4 MeV u-1 Ar ions (LET = 1226 keV μ-1) were supplemented and reanalysed. A statistical analysis of the distribution of aberrations among cells was performed. Furthermore., cells were grouped into subpopulations carrying 0, 1-2, 3-4, 5-6 and 7 or more aberrations. Then, based on the mitotic index, the flux of each subgroup through the first mitosis was determined and the average entrance time to mitosis was estimated. For comparison, the flux of aberrant V79 cells generated by X-irradiation was analysed. Analysis of the Ar ion data revealed that the flux of each subpopulation through the first mitosis is strongly affected by its aberration burden, i.e. a positive correlation between the mitotic delay and the number of aberrations carried by a cell was observed. The distribution of aberrations among cells could be well described by Neyman-type A statistics; the corresponding fit parameters also reflect the damage-dependent mitotic delay. Interestingly, comparison of the flux of Ar ion and X-ray-irradiated V79 cells through mitosis revealed (1) that a direct correlation exists between the number of aberrations carried by a cell and its average entrance time to mitosis, and (2) that this effect is independent of the linear energy transfer. The role of these observations for radiation cytogenetics is discussed. © 2005 Taylor &amp; Francis Group Ltd.},\nauthor_keywords={Aberration yield;  Compound Poisson distribution;  High LET radiation;  Mitotic delay;  Time-course of aberrations},\nkeywords={argon, animal cell;  article;  cell strain V 79;  cell subpopulation;  cell transport;  chromosome aberration;  chromosome damage;  controlled study;  correlation coefficient;  cytogenetics;  linear energy transfer;  metaphase;  mitosis;  mitosis index;  nonhuman;  Poisson distribution;  priority journal;  statistical analysis;  X irradiation, Animals;  Argon;  Cell Proliferation;  Cells, Cultured;  Chromosome Aberrations;  Chromosome Breakage;  Cricetinae;  Mitosis;  Radiation Injuries},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Linear transmitter with correlated noises.\n \n \n \n \n\n\n \n Góra, P.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 354(1-4): 153-170. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Linear$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gora2005153,\nauthor={Góra, P.F.},\ntitle={Linear transmitter with correlated noises},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2005},\nvolume={354},\nnumber={1-4},\npages={153-170},\ndoi={10.1016/j.physa.2005.01.032},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-19944371718&doi=10.1016%2fj.physa.2005.01.032&partnerID=40&md5=3cf41a42bcfba38df33ac19d1c9d31bc},\nabstract={A linear transmitter with correlated Gaussian white additive and multiplicative noises and a periodic signal coupled either additively or multiplicatively is considered. The correlations have a weak destructive effect in case of the additive signal and a strong constructive effect in case of the multiplicative one. Analytical results for the linear transmitter with the additive signal agree with those obtained previously by a different approach. We also show how to analytically calculate certain expectation values involving exponentials of Gaussian processes. © 2005 Elsevier B.V. All rights reserved.},\nauthor_keywords={Correlated Gaussian noises;  Signal-to-noise ratio;  Stochastic resonance},\nkeywords={Correlation methods;  Functions;  Gaussian noise (electronic);  Integration;  Mathematical models;  Optimization;  Random processes;  Signal to noise ratio, Brownian ratchets;  Correlated Gaussian noises;  Multiplicative noises;  Stochastic resonance, White noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stationary distributions of a noisy logistic process.\n \n \n \n \n\n\n \n Góra, P.\n\n\n \n\n\n\n 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Stationary$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Gora20051981,\nauthor={Góra, P.F.},\ntitle={Stationary distributions of a noisy logistic process},\njournal={Acta Physica Polonica B},\nyear={2005},\nvolume={36},\nnumber={6},\npages={1981-1995},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-20944441916&partnerID=40&md5=f08aacee107fcae4f702251097fd5641},\nabstract={Stationary solutions to a Fokker-Planck equation corresponding to a noisy logistic equation with correlated Gaussian white noises are constructed. Stationary distributions exist even if the corresponding deterministic system displays an unlimited growth. Positive correlations between the noises can lead to a minimum of the variance of the process and to the stochastic resonance if the system is additionally driven by a periodic signal.},\nkeywords={Computer simulation;  Heuristic methods;  Linear equations;  Logistics;  Mathematical models;  Random processes, Deterministic theory;  Fokker-Planck equation;  Noisy logistic processes;  Population dynamics, White noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Population explosion suppressed by noise: Stationary distributions and how to simulate them.\n \n \n \n \n\n\n \n Góra, P.\n\n\n \n\n\n\n New Journal of Physics, 7. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Population$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gora2005,\nauthor={Góra, P.F.},\ntitle={Population explosion suppressed by noise: Stationary distributions and how to simulate them},\njournal={New Journal of Physics},\nyear={2005},\nvolume={7},\ndoi={10.1088/1367-2630/7/1/036},\nart_number={036},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-23244440943&doi=10.1088%2f1367-2630%2f7%2f1%2f036&partnerID=40&md5=5b231d21711d5c61410ba7dbfc2e5878},\nabstract={We show that two dynamical systems exhibiting very different deterministic behaviours possess very similar stationary distributions when stabilized by a multiplicative Gaussian white noise. We also discuss practical aspects of numerically simulating these systems. We show that there exists a noise level that is optimal in the sense that the interval during which discrete-time versions of the systems remain physical is maximized. Analytical results are illustrated by numerical examples. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.},\nkeywords={Deterministic models;  Multitude;  Population dynamics;  Random fluctuations, Computer simulation;  Gaussian noise (electronic);  Noise abatement;  Numerical methods;  Random processes;  White noise, Population statistics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Hysteresis and synchronization in a two-level system driven by external noise.\n \n \n \n \n\n\n \n Juraszek, J.; Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Fluctuation and Noise Letters, 5(2): L259-L266. 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Hysteresis$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Juraszek2005,\nauthor={Juraszek, J. and Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Hysteresis and synchronization in a two-level system driven by external noise},\njournal={Fluctuation and Noise Letters},\nyear={2005},\nvolume={5},\nnumber={2},\npages={L259-L266},\ndoi={10.1142/S021947750500263X},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-23744453169&doi=10.1142%2fS021947750500263X&partnerID=40&md5=1e0fa496560c1476b01a260188373cd5},\nabstract={The paper discusses a combined effect of periodic and random perturbations on the onset of hysteresis in a generic two-state system. The interplay of both noises is investigated pointing out variations in signal tuning to the external driving force and their influence on the area and shape of the hysteresis. As an extension to former studies relating dynamic hysteresis to stochastic resonance and synchronization of passages in a double well system, in the present work the effect of the field asymmetry on the response of the system is analyzed. © World Scientific Publishing Company.},\nauthor_keywords={Mean first passage time;  Resonance;  Resonant activation;  Stochastic hysteresis;  Synchronization},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Optimising control of disease spread on networks.\n \n \n \n \n\n\n \n Dybiec, B.; Kleczkowski, A.; and Gilligan, C.\n\n\n \n\n\n\n 2005.\n \n\n\n\n
\n\n\n\n \n \n $\"Optimising$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Dybiec20051509,\nauthor={Dybiec, B. and Kleczkowski, A. and Gilligan, C.A.},\ntitle={Optimising control of disease spread on networks},\njournal={Acta Physica Polonica B},\nyear={2005},\nvolume={36},\nnumber={5},\npages={1509-1526},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33644968583&partnerID=40&md5=e422c251d9cc045fd28a6bb6aa43cbef},\nabstract={We consider models for control of epidemics on local, global, small-world and scale-free networks, with only partial information accessible about the status of individuals and their connections. The effectiveness of local (e.g. ring vaccination or culling) vs global (e.g. random vaccination) control measures is evaluated, with the aim of minimising the total cost of an epidemic. The costs include direct costs of treating infected individuals as well as costs of treatment. We first consider a random (global) vaccination strategy designed to stop any potential outbreak. We show that if the costs of the preventive vaccination are ignored, the optimal strategy is to vaccinate the whole population, although most of the resources are wasted on preventing a small number of cases. If the vaccination costs are included, or if a local strategy (within a certain neighbourhood of a symptomatic individual) is chosen, there is an optimum number of treated individuals. Inclusion of non-local contacts ('small-worlds' or scale-free networks) increases the levels of preventive (random) vaccination and radius of local treatment necessary for stopping the outbreak at a minimal cost. The number of initial foci also influences our choice of optimal strategy. The size of epidemics and the number of treated individuals increase for outbreaks that are initiated from a larger number of initial foci, but the optimal radius of local control actually decreases. The results are important for designing control strategies based on cost effectiveness.},\nkeywords={Cost effectiveness;  Diseases;  Epidemiology;  Optimization;  Social aspects;  Vaccines, Control strategies;  Scale-free networks;  Vaccination strategies, Disease control},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n 2004\n \n \n (20)\n \n \n

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\n \n\n \n \n \n \n \n \n High temperature chiral phases - A role of fluctuations.\n \n \n \n \n\n\n \n Longa, L.; and Józefowicz, W.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"High$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Longa200452,\nauthor={Longa, L. and Józefowicz, W.},\ntitle={High temperature chiral phases - A role of fluctuations},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={2004},\nvolume={5565},\npages={52-58},\ndoi={10.1117/12.581080},\nart_number={10},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-15944426099&doi=10.1117%2f12.581080&partnerID=40&md5=5a2e1c67f39647e94edb35b1ef65d99e},\nabstract={A connection between chirality at the molecular and mesoscopic scales and the corresponding macroscopic chiral structure of liquid crystalline phases is one of key issues of soft matter research. The most appropriate theoretical tools to study chirality-induced structures are statistical field theory of correlation functions and computer simulations. The correlations are calculated for the order parameter fields that enter phenomenological description of a given chiral phase, like two-point correlations for cholesterics as constructed out of the alignment tensor field. A quantity that could subsequently be derived from such correlations and used to measure chirality is, for example, the optical activity tensor or, as for bent-core systems, the traceless and symmetric third-rank tensor. In this paper we explicitly show a relation between chirality and two-point correlations of the alignment tensor field. The correlations are determined from Monte-Carlo simulations for a model isotropic liquid of chiral Gay-Berne fluid. The calculated molecular quantities are consistent with recent predictions of statistical field theory.},\nauthor_keywords={Alignment tensor;  Chiral liquid crystals;  Computer simulations;  Correlation functions;  Measure of chirality},\nkeywords={Alignment;  Computer simulation;  Correlation theory;  Light scattering;  Liquid crystals;  Mathematical models;  Tensors, Alignment tensor;  Chiral liquid crystals;  Correlation function;  Measure of chirality, Molecular structure},\ncorrespondence_address1={Longa, L.; Marian Smoluchowski Inst. of Physics, Department of Statistical Physics, Jagellonian University, Reymonta 4, Krakow, Poland},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n\n

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\n \n\n \n \n \n \n \n \n Population growth and control in stochastic models of cancer development.\n \n \n \n \n\n\n \n Ochab-Marcinek, A.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 343(1-4): 557-572. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Population$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ochab-Marcinek2004557,\nauthor={Ochab-Marcinek, A. and Gudowska-Nowak, E.},\ntitle={Population growth and control in stochastic models of cancer development},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2004},\nvolume={343},\nnumber={1-4},\npages={557-572},\ndoi={10.1016/j.physa.2004.06.071},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4544266073&doi=10.1016%2fj.physa.2004.06.071&partnerID=40&md5=9b3a0d8c189fb44463d76939401c97be},\nabstract={We study the joint effect of thermal bath fluctuations and an external noise tuning activity of cytotoxic cells on the triggered immune response in a growing cancerous tissue. The immune response is assumed to be primarily mediated by effector cells that develop a cytotoxic activity against the abnormal tissue. The kinetics of such a reaction is represented by an enzymatic-like Michaelis-Menten two step process. Effective free-energy surface for the process is further parameterised by the fluctuating energy barrier between the states of high and low concentration of cancerous cells. By analysing the far from equilibrium escape problem across the fluctuating potential barrier, we determine conditions of the most efficient decay kinetics of the cancer cell-population in the presence of dichotomously fluctuating concentration of cytotoxic cells. © 2004 Elsevier B.V. All rights reserved.},\nauthor_keywords={Models of population growth;  Noise-driven activation},\nkeywords={Cell membranes;  Cells;  Enzyme kinetics;  Free energy;  Mathematical models;  Parameter estimation;  Random processes;  Tissue;  Tumors, Cytotoxic activity;  Immune systems;  Kinetic parameter;  Proliferation, Immunology},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Activation process driven by strongly non-Gaussian noises.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Activation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Dybiec2004411,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Activation process driven by strongly non-Gaussian noises},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={2004},\nvolume={5467},\npages={411-421},\ndoi={10.1117/12.548564},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4344566703&doi=10.1117%2f12.548564&partnerID=40&md5=90c1d8e03f1fd2657418f2690aa54850},\nabstract={The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of fluctuations: an additive stable noise representing non-equilibrium external random force acting on the system and a fluctuating barrier. In particular, the influence of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation (RA) is investigated. By use of the numerical Monte Carlo method it is documented that the suitable choice of the barrier switching rate and random external fields may produce resonant phenomenon leading to the enhancement of the kinetics and the shortest, most efficient reaction time.},\nauthor_keywords={Escape time;  Numerical evaluation of the resonant activation;  Resonant activation;  Stable random variables;  Stochastic resonance},\nkeywords={Escape time;  Numerical evaluation of the resonant activation;  Resonant activation;  Stable random variables;  Stochastic resonance, Brownian movement;  Ordinary differential equations;  Random processes;  Resonance;  Signal theory;  Theorem proving, Gaussian noise (electronic)},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant effects in a voltage-activated channel gating.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Dybiec, B.; and Flyvbjerg, H.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@CONFERENCE{Gudowska-Nowak2004223,\nauthor={Gudowska-Nowak, E. and Dybiec, B. and Flyvbjerg, H.},\ntitle={Resonant effects in a voltage-activated channel gating},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={2004},\nvolume={5467},\npages={223-234},\ndoi={10.1117/12.548556},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4344678683&doi=10.1117%2f12.548556&partnerID=40&md5=fdecb870d41950ef5e3f5f2d14e15c17},\nabstract={The non-selective voltage activated cation channel from the human red cells, which is activated at depolarizing potentials, has been shown to exhibit counter-clockwise gating hysteresis. We have analyzed the phenomenon with the simplest possible phenomenological models by assuming 2×2 discrete states, i.e. two normal open/closed states with two different states of "gate tension." Rates of transitions between the two branches of the hysteresis curve have been modeled with single-barrier kinetics by introducing a real-valued "reaction coordinate" parameterizing the protein's conformational change. When described in terms of the effective potential with cyclic variations of the control parameter (an activating voltage), this model exhibits typical "resonant effects": synchronization, resonant activation and stochastic resonance. Occurrence of the phenomena is investigated by running the stochastic dynamics of the model and analyzing statistical properties of gating trajectories.},\nauthor_keywords={Channel gating;  Hysteresis;  Power spectrum;  Resonant activation;  Signal to noise ratio;  Spectral amplification;  Stochastic resonance;  Synchronization},\nkeywords={Channel gating;  Power spectrum;  Resonant activation;  Spectral amplification;  Stochastic resonance, Biological membranes;  Correlation methods;  Hysteresis;  Information technology;  Information theory;  Magnetization;  Parameter estimation;  Proteins;  Signal processing;  Statistical methods;  Stochastic programming;  Synchronization, Biotechnology},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Cell cycle arrest and aberration yield in normal human fibroblasts. I. Effects of X-rays and 195 MeVu-1 C ions.\n \n \n \n \n\n\n \n Nasonova, E.; Füssel, K.; Berger, S.; Gudowska-Nowak, E.; and Ritter, S.\n\n\n \n\n\n\n International Journal of Radiation Biology, 80(9): 621-634. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Cell$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Nasonova2004621,\nauthor={Nasonova, E. and Füssel, K. and Berger, S. and Gudowska-Nowak, E. and Ritter, S.},\ntitle={Cell cycle arrest and aberration yield in normal human fibroblasts. I. Effects of X-rays and 195 MeVu-1 C ions},\njournal={International Journal of Radiation Biology},\nyear={2004},\nvolume={80},\nnumber={9},\npages={621-634},\ndoi={10.1080/09553000400001006},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-7944223764&doi=10.1080%2f09553000400001006&partnerID=40&md5=65f95758290be8b2072580ff9f209df2},\nabstract={Purpose: To examine the relationship between cell proliferation and the expression of chromosomal damage in normal human skin fibroblasts after X-ray and particle irradiation. Materials and methods: Confluent G0/G1 AG1522B cells were exposed to X-rays or 195MeVu-1 C ions with a linear energy transfer of 16.6 keV μm-1 in the dose range 1-4 Gy. Directly after irradiation, cells were reseeded at a low density in medium containing 5-bromo-2′-deoxyuridine. At multiple time points post-irradiation, the cumulative BrdU-labelling index, mitotic index and aberration frequency were measured. Based on these data, the total amount of damage induced within the entire cell population was estimated by means of mathematical analysis. Results: Both types of radiation exposure exert a pronounced effect on the cell cycle progression of fibroblasts. They result in delayed entry of cells into S-phase and into the first mitosis, and cause a dramatic reduction in mitotic activity. Measurement of chromosomal damage in first-cycle cells at multiple time points post-irradiation shows that the frequencies of aberrant cells and aberrations increase with time up to twofold for the lower doses. However, for the higher doses, this effect is less pronounced or even disappears. When the data for the whole cell population are analysed, it becomes evident that only a few damaged fibroblasts can progress to the first mitosis, a response attributable at least in part to a long-term arrest of injured cells in the initial G0/G1-phase. As observed in other investigations, the effectiveness of 195 MeVu-1 C ions was similar or slightly higher than X-rays for all endpoints studied leading to a relative biological effectiveness in the range 1.0-1.4. Conclusions: Cell cycle arrests affect the aberration yield observable in normal human fibroblasts at mitosis. The data obtained for the cell population as a whole reveal that injured cells are rapidly removed from the mitotically active population through a chronic cell cycle arrest, which is consistent with other studies that indicate that this response is a specific strategy of fibroblasts to minimize the fixation and propagation of genetic alterations.},\nkeywords={broxuridine, article;  cell cycle;  cell cycle S phase;  cell proliferation;  chromosome damage;  controlled study;  DNA modification;  fibroblast;  human;  human cell;  human tissue;  labeling index;  linear energy transfer;  mathematical analysis;  mitosis index;  mitosis inhibition;  particle radiation;  priority journal;  radiation dose;  radiation exposure;  radiation response;  relative biologic effectiveness;  skin fibroblast;  X ray analysis, Apoptosis;  Carbon;  Cell Cycle;  Cell Proliferation;  Cell Survival;  Cells, Cultured;  Chromosome Aberrations;  Chromosomes, Human;  Dose-Response Relationship, Radiation;  Fibroblasts;  Humans;  Ions;  Linear Energy Transfer;  Radiation Dosage;  Relative Biological Effectiveness;  Skin;  X-Rays},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n Purpose: To examine the relationship between cell proliferation and the expression of chromosomal damage in normal human skin fibroblasts after X-ray and particle irradiation. Materials and methods: Confluent G0/G1 AG1522B cells were exposed to X-rays or 195MeVu-1 C ions with a linear energy transfer of 16.6 keV μm-1 in the dose range 1-4 Gy. Directly after irradiation, cells were reseeded at a low density in medium containing 5-bromo-2′-deoxyuridine. At multiple time points post-irradiation, the cumulative BrdU-labelling index, mitotic index and aberration frequency were measured. Based on these data, the total amount of damage induced within the entire cell population was estimated by means of mathematical analysis. Results: Both types of radiation exposure exert a pronounced effect on the cell cycle progression of fibroblasts. They result in delayed entry of cells into S-phase and into the first mitosis, and cause a dramatic reduction in mitotic activity. Measurement of chromosomal damage in first-cycle cells at multiple time points post-irradiation shows that the frequencies of aberrant cells and aberrations increase with time up to twofold for the lower doses. However, for the higher doses, this effect is less pronounced or even disappears. When the data for the whole cell population are analysed, it becomes evident that only a few damaged fibroblasts can progress to the first mitosis, a response attributable at least in part to a long-term arrest of injured cells in the initial G0/G1-phase. As observed in other investigations, the effectiveness of 195 MeVu-1 C ions was similar or slightly higher than X-rays for all endpoints studied leading to a relative biological effectiveness in the range 1.0-1.4. Conclusions: Cell cycle arrests affect the aberration yield observable in normal human fibroblasts at mitosis. The data obtained for the cell population as a whole reveal that injured cells are rapidly removed from the mitotically active population through a chronic cell cycle arrest, which is consistent with other studies that indicate that this response is a specific strategy of fibroblasts to minimize the fixation and propagation of genetic alterations.\n

\n\n\n

\n \n\n \n \n \n \n \n \n Resonant activation driven by strongly non-Gaussian noises.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Fluctuation and Noise Letters, 4(2): L273-L285. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2004,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Resonant activation driven by strongly non-Gaussian noises},\njournal={Fluctuation and Noise Letters},\nyear={2004},\nvolume={4},\nnumber={2},\npages={L273-L285},\ndoi={10.1142/S0219477504001872},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-12144278651&doi=10.1142%2fS0219477504001872&partnerID=40&md5=0c63ab833464673f97133b8fd6167aef},\nabstract={The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of fluctuations: an additive stable noise representing non-equilibrium external random force acting on the system and a fluctuating barrier. In particular, the influence of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation (RA) is investigated. By use of the numerical Monte Carlo method it is documented that the suitable choice of the barrier switching rate and random external fields may produce resonant phenomenon leading to the enhancement of the kinetics and the shortest, most efficient reaction time.},\nauthor_keywords={Mean first passage time;  Non-Gaussian stable random variables;  Resonant activation},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Acta Physica Polonica, Series B: Preface.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Acta$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak20040,\nauthor={Gudowska-Nowak, E.},\ntitle={Acta Physica Polonica, Series B: Preface},\njournal={Acta Physica Polonica B},\nyear={2004},\nvolume={35},\nnumber={4},\npages={i},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2442677813&partnerID=40&md5=7cda097cb377ca0c45c76a765eba9588},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant activation in the presence of nonequilibrated baths.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 69(1): 7. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20047,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Resonant activation in the presence of nonequilibrated baths},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2004},\nvolume={69},\nnumber={1},\npages={7},\ndoi={10.1103/PhysRevE.69.016105},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85036316041&doi=10.1103%2fPhysRevE.69.016105&partnerID=40&md5=239a5ece1318ecafb2235d02836dc988},\nabstract={We study the generic problem of the escape of a classical particle over a fluctuating barrier under the influence of non-Gaussian noise mimicking the effects of nonequilibrated bath. The model system is described by a Langevin equation with two independent noise sources, one of which stands for the dichotomous process and the other describes external driving by α-stable noise. Our attention focuses on the effect of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation. Possible physical interpretation of the occurrence of Lévy noises and the relevance of the model for chemical kinetics is briefly discussed. © 2004 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant activation in the presence of nonequilibrated baths.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69(1 2): 161051-161057. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2004161051,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Resonant activation in the presence of nonequilibrated baths},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2004},\nvolume={69},\nnumber={1 2},\npages={161051-161057},\nart_number={016105},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-12144275995&partnerID=40&md5=9fb9ff3b7e26e999f80e7d2b77ef8d67},\nabstract={The study of the influence of non-Gaussian noise in a classical particle escape problem was discussed. The influence was studied using a model described by a Langevin equation with two independent noise sources. It took a nonequilibrated thermal bath which introduced a thermally activated process into consideration. The effect of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation was also discussed.},\nkeywords={Brownian movement;  Computer simulation;  Correlation methods;  Diffusion;  Entropy;  Micelles;  Probability distributions;  Rate constants;  Resonance;  Thermodynamics;  Time series analysis, Non-Gaussian noises;  Resonant activation, Spurious signal noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Chromosome fragmentation after irradiation with C ions.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Nasonova, E.; Ritter, S.; and Scholz, M.\n\n\n \n\n\n\n Radiotherapy and Oncology, 73(SUPPL. 2): S123-S126. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Chromosome$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak20041,\nauthor={Gudowska-Nowak, E. and Nasonova, E. and Ritter, S. and Scholz, M.},\ntitle={Chromosome fragmentation after irradiation with C ions},\njournal={Radiotherapy and Oncology},\nyear={2004},\nvolume={73},\nnumber={SUPPL. 2},\npages={S123-S126},\ndoi={10.1016/S0167-8140(04)80032-X},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-21444448281&doi=10.1016%2fS0167-8140%2804%2980032-X&partnerID=40&md5=8f3bb44f5f2e0656f7274b3fc778331a},\nabstract={The premature chromosome condensation (PCC) technique has been used to compare chromatin breakage and repair in non-cycling CHO-K1 cells following high LET (C ions) and low LET (X-rays) irradiation. For both radiation qualities the average initial number of excess PCC fragments increases linearly with dose. However, the frequency of chromatin breaks follows the pattern of energy deposition and at higher LET values reveals clustering due to the large number of ionizing events being concentrated in a small volume of the cell nucleus. In consequence, the distribution of PCC chromosomes plus excess fragments among cells has followed Poisson statistics after X-ray irradiation while the overdispersion of the frequencies has been observed after C-irradiation indicating that a single particle traversal through a cell nucleus can produce multiple chromatin lesions.},\nauthor_keywords={Chromatin fragmentation;  High LET C ions;  PCC technique},\nkeywords={carbon;  heavy ion, animal cell;  cell line;  cell nucleus;  cell regeneration;  Chinese hamster;  chromatin;  chromatin assembly and disassembly;  chromosome;  conference paper;  ionizing radiation;  irradiation;  linear energy transfer;  nonhuman;  Poisson distribution;  premature chromosome condensation;  priority journal;  radiation;  radiation dose;  X irradiation;  animal;  article;  CHO cell;  chromosome aberration;  DNA repair;  hamster, Animals;  Carbon;  CHO Cells;  Chromosome Aberrations;  Cricetinae;  DNA Repair;  Heavy Ions;  Linear Energy Transfer;  Poisson Distribution},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Direct visualisation of heavy ion induced DNA fragmentation using Atomic Force Microscopy.\n \n \n \n \n\n\n \n Brons, S.; Psonka, K.; Heiß, M.; Gudowska-Nowak, E.; Taucher-Scholz, G.; and Neumann, R.\n\n\n \n\n\n\n Radiotherapy and Oncology, 73(SUPPL. 2): S112-S114. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Direct$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Brons2004,\nauthor={Brons, S. and Psonka, K. and Heiß, M. and Gudowska-Nowak, E. and Taucher-Scholz, G. and Neumann, R.},\ntitle={Direct visualisation of heavy ion induced DNA fragmentation using Atomic Force Microscopy},\njournal={Radiotherapy and Oncology},\nyear={2004},\nvolume={73},\nnumber={SUPPL. 2},\npages={S112-S114},\ndoi={10.1016/S0167-8140(04)80029-X},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-21444445422&doi=10.1016%2fS0167-8140%2804%2980029-X&partnerID=40&md5=e802b1aad3f4eda61ffd1be0dba25eb0},\nabstract={Atomic Force Microscopy of φX174 plasmids irradiated in vitro was used to visualise the DNA fragmentation induced by heavy ions and to compare it to the fragmentation pattern obtained after X-irradiation. Fragment distributions induced by low ion fuences were found to be much more shifted towards small fragment sizes than the distributions obtained after corresponding doses of X-rays. The average fragment length was found to be significantly smaller than the full plasmid length even for single ion traversals.},\nauthor_keywords={Atomic Force Microscopy;  DNA fragmentation;  High LET irradiation},\nkeywords={DNA fragment;  heavy ion;  DNA;  heavy ion, atomic force microscopy;  conference paper;  ion transport;  plasmid;  priority journal;  statistical significance;  X ray;  article;  confocal microscopy;  DNA damage;  human;  radiation exposure, DNA;  DNA Damage;  DNA Fragmentation;  Heavy Ions;  Humans;  Microscopy, Confocal;  X-Rays},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n The logistic equation and a linear stochastic resonance.\n \n \n \n \n\n\n \n Góra, P.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"The$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Gora20041583,\nauthor={Góra, P.F.},\ntitle={The logistic equation and a linear stochastic resonance},\njournal={Acta Physica Polonica B},\nyear={2004},\nvolume={35},\nnumber={5},\npages={1583-1595},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2442686673&partnerID=40&md5=de0cd478bd748d1a52dab8eb03f790d2},\nabstract={We show analytically that a collective action of two correlated Gaussian white noises, a constant external forcing and a periodic signal leads to a linear stochastic resonance (LSR). The resonance persists for long times, survives averaging over the initial phase of the signal and is characterized by a clear maximum of the signal-to-noise ratio (SNR), unlike other cases of the LSR reported previously. We show that the problem of the LSR is closely related to the behavior of a generalized noisy logistic equation.},\nkeywords={Correlation methods;  Logistics;  Resonance;  Signal processing;  Signal to noise ratio;  White noise, External force;  Linear stochastic resonance;  Logistic equation;  Periodic signal, Stochastic control systems},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Comment on \"Stochastic resonance in a linear system with signal-modulated noise\" by L. Cao and D. J. Wu.\n \n \n \n \n\n\n \n Góra, P.\n\n\n \n\n\n\n Europhysics Letters, 66(3): 462-463. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Comment$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gora2004462,\nauthor={Góra, P.F.},\ntitle={Comment on "Stochastic resonance in a linear system with signal-modulated noise" by L. Cao and D. J. Wu},\njournal={Europhysics Letters},\nyear={2004},\nvolume={66},\nnumber={3},\npages={462-463},\ndoi={10.1209/epl/i2003-10216-x},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2442455518&doi=10.1209%2fepl%2fi2003-10216-x&partnerID=40&md5=b668a60f820cd41c4bc13e052a582c3b},\nabstract={The system discussed recently by Cao and Wu in Europhys. Lett., 61 (2003) 593, merely reproduces properties of the input signal.},\ndocument_type={Review},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Controlling disease spread on networks with incomplete knowledge.\n \n \n \n \n\n\n \n Dybiec, B.; Kleczkowski, A.; and Gilligan, C.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 70(6 2): 066145/1-066145/5. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Controlling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec20045,\nauthor={Dybiec, B. and Kleczkowski, A. and Gilligan, C.A.},\ntitle={Controlling disease spread on networks with incomplete knowledge},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2004},\nvolume={70},\nnumber={6 2},\npages={066145/1-066145/5},\ndoi={10.1103/PhysRevE.70.066145},\nart_number={066145},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37649032612&doi=10.1103%2fPhysRevE.70.066145&partnerID=40&md5=842736bb2f075cecbc2bbd90a5a538e0},\nabstract={The efficiency of local control strategies for stopping the spread of a disease on networks with a mixture of local and global links and cryptic infection was compared. A case when individual can be infectious before showing symptoms and thus before detection was considered. It was possible to control diseases spread by using purely local methods applied in a neighborhood centered around a detected infectious individual for small to moderately severe incidence of infection with a small number of nonlocal links. The results show that it is not possible to stop an epidemic on scale-free networks by preventive actions, unless a large proportion of the population is treated.},\nkeywords={Approximation theory;  Boundary conditions;  Epidemiology;  Graph theory;  Optimization;  Plants (botany);  Probability;  Topology, Cryptic infection;  Rhizomania;  Scale-free (SF) topology;  Scale-free networks, Disease control},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Activation process driven by strongly non-Gaussian noises.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Activation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Dybiec2004411,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Activation process driven by strongly non-Gaussian noises},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={2004},\nvolume={5467},\npages={411-421},\ndoi={10.1117/12.548564},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4344566703&doi=10.1117%2f12.548564&partnerID=40&md5=90c1d8e03f1fd2657418f2690aa54850},\nabstract={The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of fluctuations: an additive stable noise representing non-equilibrium external random force acting on the system and a fluctuating barrier. In particular, the influence of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation (RA) is investigated. By use of the numerical Monte Carlo method it is documented that the suitable choice of the barrier switching rate and random external fields may produce resonant phenomenon leading to the enhancement of the kinetics and the shortest, most efficient reaction time.},\nauthor_keywords={Escape time;  Numerical evaluation of the resonant activation;  Resonant activation;  Stable random variables;  Stochastic resonance},\nkeywords={Escape time;  Numerical evaluation of the resonant activation;  Resonant activation;  Stable random variables;  Stochastic resonance, Brownian movement;  Ordinary differential equations;  Random processes;  Resonance;  Signal theory;  Theorem proving, Gaussian noise (electronic)},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant effects in a voltage-activated channel gating.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Dybiec, B.; and Flyvbjerg, H.\n\n\n \n\n\n\n 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak2004223,\nauthor={Gudowska-Nowak, E. and Dybiec, B. and Flyvbjerg, H.},\ntitle={Resonant effects in a voltage-activated channel gating},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={2004},\nvolume={5467},\npages={223-234},\ndoi={10.1117/12.548556},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4344678683&doi=10.1117%2f12.548556&partnerID=40&md5=fdecb870d41950ef5e3f5f2d14e15c17},\nabstract={The non-selective voltage activated cation channel from the human red cells, which is activated at depolarizing potentials, has been shown to exhibit counter-clockwise gating hysteresis. We have analyzed the phenomenon with the simplest possible phenomenological models by assuming 2×2 discrete states, i.e. two normal open/closed states with two different states of "gate tension." Rates of transitions between the two branches of the hysteresis curve have been modeled with single-barrier kinetics by introducing a real-valued "reaction coordinate" parameterizing the protein's conformational change. When described in terms of the effective potential with cyclic variations of the control parameter (an activating voltage), this model exhibits typical "resonant effects": synchronization, resonant activation and stochastic resonance. Occurrence of the phenomena is investigated by running the stochastic dynamics of the model and analyzing statistical properties of gating trajectories.},\nauthor_keywords={Channel gating;  Hysteresis;  Power spectrum;  Resonant activation;  Signal to noise ratio;  Spectral amplification;  Stochastic resonance;  Synchronization},\nkeywords={Channel gating;  Power spectrum;  Resonant activation;  Spectral amplification;  Stochastic resonance, Biological membranes;  Correlation methods;  Hysteresis;  Information technology;  Information theory;  Magnetization;  Parameter estimation;  Proteins;  Signal processing;  Statistical methods;  Stochastic programming;  Synchronization, Biotechnology},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant activation driven by strongly non-Gaussian noises.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Fluctuation and Noise Letters, 4(2): L273-L285. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec2004,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Resonant activation driven by strongly non-Gaussian noises},\njournal={Fluctuation and Noise Letters},\nyear={2004},\nvolume={4},\nnumber={2},\npages={L273-L285},\ndoi={10.1142/S0219477504001872},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-12144278651&doi=10.1142%2fS0219477504001872&partnerID=40&md5=0c63ab833464673f97133b8fd6167aef},\nabstract={The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of fluctuations: an additive stable noise representing non-equilibrium external random force acting on the system and a fluctuating barrier. In particular, the influence of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation (RA) is investigated. By use of the numerical Monte Carlo method it is documented that the suitable choice of the barrier switching rate and random external fields may produce resonant phenomenon leading to the enhancement of the kinetics and the shortest, most efficient reaction time.},\nauthor_keywords={Mean first passage time;  Non-Gaussian stable random variables;  Resonant activation},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant activation in the presence of nonequilibrated baths.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 69(1): 7. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20047,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Resonant activation in the presence of nonequilibrated baths},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2004},\nvolume={69},\nnumber={1},\npages={7},\ndoi={10.1103/PhysRevE.69.016105},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85036316041&doi=10.1103%2fPhysRevE.69.016105&partnerID=40&md5=239a5ece1318ecafb2235d02836dc988},\nabstract={We study the generic problem of the escape of a classical particle over a fluctuating barrier under the influence of non-Gaussian noise mimicking the effects of nonequilibrated bath. The model system is described by a Langevin equation with two independent noise sources, one of which stands for the dichotomous process and the other describes external driving by α-stable noise. Our attention focuses on the effect of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation. Possible physical interpretation of the occurrence of Lévy noises and the relevance of the model for chemical kinetics is briefly discussed. © 2004 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Resonant activation in the presence of nonequilibrated baths.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69(1 2): 161051-161057. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Resonant$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Dybiec2004161051,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Resonant activation in the presence of nonequilibrated baths},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2004},\nvolume={69},\nnumber={1 2},\npages={161051-161057},\nart_number={016105},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-12144275995&partnerID=40&md5=9fb9ff3b7e26e999f80e7d2b77ef8d67},\nabstract={The study of the influence of non-Gaussian noise in a classical particle escape problem was discussed. The influence was studied using a model described by a Langevin equation with two independent noise sources. It took a nonequilibrated thermal bath which introduced a thermally activated process into consideration. The effect of the structure of stable noises on the mean escape time and on the phenomenon of resonant activation was also discussed.},\nkeywords={Brownian movement;  Computer simulation;  Correlation methods;  Diffusion;  Entropy;  Micelles;  Probability distributions;  Rate constants;  Resonance;  Thermodynamics;  Time series analysis, Non-Gaussian noises;  Resonant activation, Spurious signal noise},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Controlling disease spread on networks with incomplete knowledge.\n \n \n \n \n\n\n \n Dybiec, B.; Kleczkowski, A.; and Gilligan, C.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70(6): 5. 2004.\n \n\n\n\n
\n\n\n\n \n \n $\"Controlling$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Dybiec20045,\nauthor={Dybiec, B. and Kleczkowski, A. and Gilligan, C.A.},\ntitle={Controlling disease spread on networks with incomplete knowledge},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2004},\nvolume={70},\nnumber={6},\npages={5},\ndoi={10.1103/PhysRevE.70.066145},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85036330513&doi=10.1103%2fPhysRevE.70.066145&partnerID=40&md5=e3be2daefa798e4f59d9d72ec1118372},\nabstract={Models for control of highly infectious diseases on local, small-world, and scale-free networks are considered, with only partial information accessible about the status of individuals and their connections. We consider a case when individuals can be infectious before showing symptoms and thus before detection. For small to moderately severe incidence of infection with a small number of nonlocal links, it is possible to control disease spread by using purely local methods applied in a neighborhood centered around a detected infectious individual. There exists an optimal radius for such a control neighborhood leading to the lowest severity of the epidemic in terms of economic costs associated with disease and treatment. The efficiency of a local control strategy is very sensitive to the choice of the radius. Below the optimal radius, the local strategy is unsuccessful; the disease spreads throughout the system, necessitating treatment of the whole population. At the other extreme, a strategy involving a neighborhood that is too large controls the disease but is wasteful of resources. It is not possible to stop an epidemic on scale-free networks by preventive actions, unless a large proportion of the population is treated. © 2004 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Infinite products of large random matrices and matrix-valued diffusion.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Janik, R.; Jurkiewicz, J.; and Nowak, M.\n\n\n \n\n\n\n Nuclear Physics B, 670(3): 479-507. 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"Infinite$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak2003479,\nauthor={Gudowska-Nowak, E. and Janik, R.A. and Jurkiewicz, J. and Nowak, M.A.},\ntitle={Infinite products of large random matrices and matrix-valued diffusion},\njournal={Nuclear Physics B},\nyear={2003},\nvolume={670},\nnumber={3},\npages={479-507},\ndoi={10.1016/j.nuclphysb.2003.08.012},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0141793863&doi=10.1016%2fj.nuclphysb.2003.08.012&partnerID=40&md5=de0ab8f2e235e030aadec13f350f46fe},\nabstract={We use an extension of the diagrammatic rules in random matrix theory to evaluate spectral properties of finite and infinite products of large complex matrices and large Hermitian matrices. The infinite product case allows us to define a natural matrix-valued multiplicative diffusion process. In both cases of Hermitian and complex matrices, we observe the emergence of a "topological phase transition", when a hole develops in the eigenvalue spectrum, after some critical diffusion time τcrit is reached. In the case of a particular product of two Hermitian ensembles, we observe also an unusual localization-delocalization phase transition in the spectrum of the considered ensemble. We verify the analytical formulas obtained in this work by numerical simulation. © 2003 Elsevier B.V. All rights reserved.},\nauthor_keywords={Diagrammatic expansion;  Non-Hermitian random matrix models;  Products of random matrices},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Diffusion process of large random matrices.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Janik, R.; Jurkiewicz, J.; and Nowak, M.\n\n\n \n\n\n\n 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"Diffusion$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Gudowska-Nowak20034835,\nauthor={Gudowska-Nowak, E. and Janik, R.A. and Jurkiewicz, J. and Nowak, M.A.},\ntitle={Diffusion process of large random matrices},\njournal={Acta Physica Polonica B},\nyear={2003},\nvolume={34},\nnumber={10},\npages={4835-4853},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0142258856&partnerID=40&md5=6acb2a57b2bae53e872dc97292d06715},\nabstract={We describe a matrix analogy of the log-normal random walk, in the large N (size of the matrix) limit. In particular, we present an exact result for the infinite product of random matrices, corresponding to the multiplicative diffusion triggered by Ginibre-Girko ensemble. We observe the emergence of a "topological phase transition", when a hole develops in the complex eigenvalue spectrum, after some critical diffusion time τcrit is reached.},\nkeywords={Diffusion;  Eigenvalues and eigenfunctions;  Matrix algebra;  Phase transitions;  Random processes, Large random matrices;  Random matrix theory, Statistical mechanics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Free random variables and molecular spectra.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Kamińska, A.; Papp, G.; and Brickmann, J.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 325(1-2): 48-54. 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"Free$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak200348,\nauthor={Gudowska-Nowak, E. and Kamińska, A. and Papp, G. and Brickmann, J.},\ntitle={Free random variables and molecular spectra},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2003},\nvolume={325},\nnumber={1-2},\npages={48-54},\ndoi={10.1016/S0378-4371(03)00182-1},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0037671505&doi=10.1016%2fS0378-4371%2803%2900182-1&partnerID=40&md5=109878de25a7ee1323c43007b5b9741a},\nabstract={The method of free random variables and its relation to random matrices were discussed. A formalism was applied to study the effect of static disorder on the density of states in a model Hamiltonian system. The dynamics of neural networks and quantum system with dissipation was also elaborated.},\nauthor_keywords={Free probabilistics;  Random matrix models;  Spectral analysis},\nkeywords={Matrix algebra;  Molecules;  Probability;  Spectrum analysis, Random variables, Statistical mechanics},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Fundamental building blocks of eumelanins: Electronic properties of indolequinone-dimers.\n \n \n \n \n\n\n \n Bochenek, K.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Chemical Physics Letters, 373(5-6): 532-538. 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"Fundamental$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Bochenek2003532,\nauthor={Bochenek, K. and Gudowska-Nowak, E.},\ntitle={Fundamental building blocks of eumelanins: Electronic properties of indolequinone-dimers},\njournal={Chemical Physics Letters},\nyear={2003},\nvolume={373},\nnumber={5-6},\npages={532-538},\ndoi={10.1016/S0009-2614(03)00629-8},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0038183873&doi=10.1016%2fS0009-2614%2803%2900629-8&partnerID=40&md5=b65dff1ad41414bc2d03fb87afd332c1},\nabstract={We present results from the theoretical INDO calculations of the electronic structure for stacked eumelanins' monomers. As basic indolic components of the eumelanin structure 5,6-dihydroxyindole (DHI or HQ) and its oxidized forms (SQ and IQ) were chosen. The results reveal dependency of electronic properties of such aggregates on monomers' redox states. They point out also a tendency to localize an extra charge on one of dimers' subunits that could be suggestive of an electron hopping as a model mechanism for the electron transfer in eumelanins. © 2003 Elsevier Science B.V. All rights reserved.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Electronic properties of random polymers: Modelling optical spectra of melanins.\n \n \n \n \n\n\n \n Bochenek, K.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"Electronic$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@CONFERENCE{Bochenek20032775,\nauthor={Bochenek, K. and Gudowska-Nowak, E.},\ntitle={Electronic properties of random polymers: Modelling optical spectra of melanins},\njournal={Acta Physica Polonica B},\nyear={2003},\nvolume={34},\nnumber={5},\npages={2775-2790},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0038626622&partnerID=40&md5=2ca904f4c2722fd51f80bd93c17e32bc},\nabstract={Melanins are a group of complex pigments of biological origin, widely spread in all species from fungi to man. Among diverse types of melanins, the human melanins, eumelanins, are brown or black nitrogen-containing pigments, mostly known for their photoprotective properties in human skin. We have undertaken theoretical studies aimed to understand absorption spectra of eumelanins and their chemical precursors. The structure of the biopigment is poorly defined, although it is believed to be composed of cross-linked heteropolymers based on indolequinones. As a basic model of the eumelanin structure, we have chosen pentamers containing hydroquinones (HQ) and/or 5,6-indolequinones (IQ) and/or semiquinones (SQ) often listed as structural melanin monomers. The eumelanin oligomers have been constructed as random compositions of basic monomers and optimized for the energy of bonding. Absorption spectra of model assemblies have been calculated within the semiempirical intermediate neglect of differential overlap (INDO) approximation. Model spectrum of eumelanin has been further obtained by sum of independent spectra of singular polymers. By comparison with experimental data it is shown that the INDO/CI method manages to reproduce well characteristic properties of experimental spectrum of synthetic eumelanins.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Quenched disorder and long-tail distributions.\n \n \n \n \n\n\n \n Kleczkowski, A.; and Góra, P.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 327(3-4): 378-398. 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"Quenched$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Kleczkowski2003378,\nauthor={Kleczkowski, A. and Góra, P.F.},\ntitle={Quenched disorder and long-tail distributions},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2003},\nvolume={327},\nnumber={3-4},\npages={378-398},\ndoi={10.1016/S0378-4371(03)00277-2},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0141569663&doi=10.1016%2fS0378-4371%2803%2900277-2&partnerID=40&md5=e69961c0d68e78f067c758153f28a3c9},\nabstract={A model of overdamped and externally stimulated oscillators is discussed. It is shown analytically that in the uncoupled case a wide class of random distributions of parameters of individual oscillators leads to a long-tail distribution of resting points. Interactions between the individual oscillators destroy these long tails partially (nearest-neighbours interaction) or completely (mean field interactions). As the levels of a local coupling increase, domains of similarly acting oscillators are formed. The collective behaviour becomes important for large local coupling at which the long tails are destroyed. In this case, the observed pattern of resting states is a reflection of both the quenched disorder and interactions between the oscillators. © 2003 Elsevier B.V. All rights reserved.},\nauthor_keywords={Domains formation;  Long-tail distributions;  Quenched disorder},\nkeywords={Damping;  Quenching;  Random processes, Quenched disorder, Oscillators (mechanical)},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n A toy model of faith-based systems evolution.\n \n \n \n \n\n\n \n Sadedin, S.; Dybiec, B.; and Briscoe, G.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 323: 715-725. 2003.\n \n\n\n\n
\n\n\n\n \n \n $\"A$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Sadedin2003715,\nauthor={Sadedin, S. and Dybiec, B. and Briscoe, G.},\ntitle={A toy model of faith-based systems evolution},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={2003},\nvolume={323},\npages={715-725},\ndoi={10.1016/S0378-4371(03)00046-3},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0038136658&doi=10.1016%2fS0378-4371%2803%2900046-3&partnerID=40&md5=01a9fac62e4cc18790ca3365075dc9b4},\nabstract={A simple agent-based model of the evolution of faith-based systems (FBS) in human social networks is presented. In the model, each agent subscribes to a single FBS, and may be converted to share a different agent's FBS during social interactions. FBSs and agents each possess heritable quantitative traits that affect the probability of transmission of FBSs. The influence of social network conditions on the intermediate and final macroscopic states is examined. © 2003 Elsevier Science B.V. All rights reserved.},\nauthor_keywords={Agent-based modeling;  Lattice models;  Power laws;  Social dynamic;  Social impact theory;  Sociophysics},\nkeywords={Computer simulation;  Economic and social effects;  Inverse problems;  Large scale systems, Sociophysics, Social aspects},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2002\n \n \n (7)\n \n \n

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\n \n \n

\n \n\n \n \n \n \n \n \n Implication of barrier fluctuations on the rate of weakly adiabatic electron transfer.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Góra, P.\n\n\n \n\n\n\n International Journal of Modern Physics C, 13(9): 1211-1222. 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Implication$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec20021211,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Góra, P.F.},\ntitle={Implication of barrier fluctuations on the rate of weakly adiabatic electron transfer},\njournal={International Journal of Modern Physics C},\nyear={2002},\nvolume={13},\nnumber={9},\npages={1211-1222},\ndoi={10.1142/S0129183102004078},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0036871709&doi=10.1142%2fS0129183102004078&partnerID=40&md5=c03aafa8209f05e85e0c0be4e1400dda},\nabstract={The problem of escape of a Brownian particle in a cusp-shaped metastable potential is of special importance in nonadiabatic and weakly-adiabatic rate theory for electron transfer (ET) reactions. For the weakly-adiabatic reactions, the reaction follows an adiabaticity criterion in the presence of a sharp barrier. In contrast to the nonadiabatic case, the ET kinetics can be, however considerably influenced by the medium dynamics. In this paper, the problem of the escape time over a dichotomously fluctuating cusp barrier is discussed with its relevance to the high temperature ET reactions in condensed media.},\nauthor_keywords={Escape time;  Kinetic rate;  Numerical evaluation of the resonant activation},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Erratum: Integrated chromosome aberration yields determined for V79 cells after high LET radiation (International Journal of Radiation Biology (2002) 78:11 (1063-1064)).\n \n \n \n \n\n\n \n Ritter, S.; Nasonova, E.; Gudowska-Nowak, E.; Scholz, M.; and Kraft, G.\n\n\n \n\n\n\n International Journal of Radiation Biology, 78(11): 1063-1064. 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Erratum:$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Ritter20021063,\nauthor={Ritter, S. and Nasonova, E. and Gudowska-Nowak, E. and Scholz, M. and Kraft, G.},\ntitle={Erratum: Integrated chromosome aberration yields determined for V79 cells after high LET radiation (International Journal of Radiation Biology (2002) 78:11 (1063-1064))},\njournal={International Journal of Radiation Biology},\nyear={2002},\nvolume={78},\nnumber={11},\npages={1063-1064},\ndoi={10.1080/0955300021000020292},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0036831152&doi=10.1080%2f0955300021000020292&partnerID=40&md5=1af092021bd27578141e3f1f4f49837b},\nkeywords={erratum;  error;  priority journal;  animal;  cell line;  chromosome;  chromosome aberration;  Cricetulus;  hamster;  letter;  radiation exposure, Animals;  Cell Line;  Chromosome Aberrations;  Chromosomes;  Cricetinae;  Cricetulus},\ndocument_type={Erratum},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Influence of the barrier shape on resonant activation.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 66(2). 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Influence$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec2002,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Influence of the barrier shape on resonant activation},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2002},\nvolume={66},\nnumber={2},\npage_count={6},\ndoi={10.1103/PhysRevE.66.026123},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37649027621&doi=10.1103%2fPhysRevE.66.026123&partnerID=40&md5=63d285d745b619d589cfc23a10deaf9a},\nabstract={The escape of a Brownian particle over a dichotomously fluctuating barrier is investigated for various shapes of the barrier. The problem of resonant activation is revisited with the attention on the effect of the barrier shape on optimal value of the mean escape time in the system. The characteristic features of resonant behavior are analyzed for situations when the barrier switches either between different heights representing erection of a barrier and formation of a well, respectively, or it proceeds through “on” and “off” positions. © 2002 The American Physical Society.},\nkeywords={Activation energy;  Biological membranes;  Brownian movement;  Frequencies;  Gaussian noise (electronic);  Nonlinear systems;  Problem solving;  Thermal effects;  White noise, Barrier switches;  Nonequilibrium systems;  Optimal value;  Resonant activation, Resonance},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n\n\n

\n \n\n \n \n \n \n \n \n Random walk models of electron tunneling in a fluctuating medium.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; and Weron, K.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 65(1). 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Random$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Gudowska-Nowak2002,\nauthor={Gudowska-Nowak, E. and Weron, K.},\ntitle={Random walk models of electron tunneling in a fluctuating medium},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2002},\nvolume={65},\nnumber={1},\npage_count={5},\ndoi={10.1103/PhysRevE.65.011103},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-41349083515&doi=10.1103%2fPhysRevE.65.011103&partnerID=40&md5=68569457a235e83f2e32ac5e207ff4de},\nabstract={A modified approach to the electron transfer theory in disordered media is discussed by use of continuous time random walk models accounting for medium fluctuations. The models apply to the situations when the bridging medium between the donor and acceptor pair fluctuates changing coupling between intermediate transferring states. Effect of the latter on the long distance electron transfer is discussed pointing out emergence of nonexponential decay kinetics. © 2001 The American Physical Society.},\nkeywords={Activation analysis;  Approximation theory;  Electron transitions;  Fourier transforms;  Functions;  Green's function;  Laplace transforms;  Mathematical models;  Matrix algebra;  Poisson distribution;  Random processes, Electronic couplings;  Random impulses;  Random walk models;  Virtual jumps, Electron tunneling},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n\n\n\n\n\n

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\n \n\n \n \n \n \n \n \n Implication of barrier fluctuations on the rate of weakly adiabatic electron transfer.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Góra, P.\n\n\n \n\n\n\n International Journal of Modern Physics C, 13(9): 1211-1222. 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Implication$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec20021211,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Góra, P.F.},\ntitle={Implication of barrier fluctuations on the rate of weakly adiabatic electron transfer},\njournal={International Journal of Modern Physics C},\nyear={2002},\nvolume={13},\nnumber={9},\npages={1211-1222},\ndoi={10.1142/S0129183102004078},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0036871709&doi=10.1142%2fS0129183102004078&partnerID=40&md5=c03aafa8209f05e85e0c0be4e1400dda},\nabstract={The problem of escape of a Brownian particle in a cusp-shaped metastable potential is of special importance in nonadiabatic and weakly-adiabatic rate theory for electron transfer (ET) reactions. For the weakly-adiabatic reactions, the reaction follows an adiabaticity criterion in the presence of a sharp barrier. In contrast to the nonadiabatic case, the ET kinetics can be, however considerably influenced by the medium dynamics. In this paper, the problem of the escape time over a dichotomously fluctuating cusp barrier is discussed with its relevance to the high temperature ET reactions in condensed media.},\nauthor_keywords={Escape time;  Kinetic rate;  Numerical evaluation of the resonant activation},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

\n

\n\n\n\n\n\n

\n\n\n

\n \n\n \n \n \n \n \n \n Implication of barrier fluctuations on the rate of weakly adiabatic electron transfer.\n \n \n \n \n\n\n \n Dybiec, B.; Gudowska-Nowak, E.; and Góra, P.\n\n\n \n\n\n\n International Journal of Modern Physics C, 13(9): 1211-1222. 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Implication$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec20021211,\nauthor={Dybiec, B. and Gudowska-Nowak, E. and Góra, P.F.},\ntitle={Implication of barrier fluctuations on the rate of weakly adiabatic electron transfer},\njournal={International Journal of Modern Physics C},\nyear={2002},\nvolume={13},\nnumber={9},\npages={1211-1222},\ndoi={10.1142/S0129183102004078},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0036871709&doi=10.1142%2fS0129183102004078&partnerID=40&md5=c03aafa8209f05e85e0c0be4e1400dda},\nabstract={The problem of escape of a Brownian particle in a cusp-shaped metastable potential is of special importance in nonadiabatic and weakly-adiabatic rate theory for electron transfer (ET) reactions. For the weakly-adiabatic reactions, the reaction follows an adiabaticity criterion in the presence of a sharp barrier. In contrast to the nonadiabatic case, the ET kinetics can be, however considerably influenced by the medium dynamics. In this paper, the problem of the escape time over a dichotomously fluctuating cusp barrier is discussed with its relevance to the high temperature ET reactions in condensed media.},\nauthor_keywords={Escape time;  Kinetic rate;  Numerical evaluation of the resonant activation},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n\n\n\n\n\n

\n\n\n

\n \n\n \n \n \n \n \n \n Influence of the barrier shape on resonant activation.\n \n \n \n \n\n\n \n Dybiec, B.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 66(2). 2002.\n \n\n\n\n
\n\n\n\n \n \n $\"Influence$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Dybiec2002,\nauthor={Dybiec, B. and Gudowska-Nowak, E.},\ntitle={Influence of the barrier shape on resonant activation},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2002},\nvolume={66},\nnumber={2},\npage_count={6},\ndoi={10.1103/PhysRevE.66.026123},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-37649027621&doi=10.1103%2fPhysRevE.66.026123&partnerID=40&md5=63d285d745b619d589cfc23a10deaf9a},\nabstract={The escape of a Brownian particle over a dichotomously fluctuating barrier is investigated for various shapes of the barrier. The problem of resonant activation is revisited with the attention on the effect of the barrier shape on optimal value of the mean escape time in the system. The characteristic features of resonant behavior are analyzed for situations when the barrier switches either between different heights representing erection of a barrier and formation of a well, respectively, or it proceeds through “on” and “off” positions. © 2002 The American Physical Society.},\nkeywords={Activation energy;  Biological membranes;  Brownian movement;  Frequencies;  Gaussian noise (electronic);  Nonlinear systems;  Problem solving;  Thermal effects;  White noise, Barrier switches;  Nonequilibrium systems;  Optimal value;  Resonant activation, Resonance},\ndocument_type={Article},\nsource={Scopus},\n}\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%\n% Michał Cieśla\n%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n

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\n \n 2001\n \n \n (7)\n \n \n

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\n \n\n \n \n \n \n \n \n Polymer fragmentation in extensional flow.\n \n \n \n \n\n\n \n Maroja, A.; Oliveira, F.; Cieśla, M.; and Longa, L.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63(6): 1-5. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"Polymer$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Maroja20011,\nauthor={Maroja, A.M. and Oliveira, F.A. and Cieśla, M. and Longa, L.},\ntitle={Polymer fragmentation in extensional flow},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2001},\nvolume={63},\nnumber={6},\npages={1-5},\ndoi={10.1103/PhysRevE.63.061801},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85009318003&doi=10.1103%2fPhysRevE.63.061801&partnerID=40&md5=9da4ed8f087be11d80feec9166f23236},\nabstract={A microscopic theory that gives a simple analytical result for the dispersion of breaking bonds of a chain in an extensional flow is presented. The theory shows as well that the difference between the computed activation energy and those found from the simulations can be explained by the factor which is responsible for the collective effects, such as memory and nucleation of kinks.},\nkeywords={Chemical bonds;  Computer simulation;  Equations of motion;  Molecular dynamics;  Numerical analysis;  Phase transitions;  Plastic flow;  Solutions, Breaking bonds;  Extensional flow;  Gaussian distribution;  Langevin dynamics;  Polymer fragmentation;  Transition rate, Organic polymers},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Synchronization induced by Langevin dynamics.\n \n \n \n \n\n\n \n Cieśla, M.; Dias, S.; Longa, L.; and Oliveira, F.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63(6): 1-4. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"Synchronization$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Ciesla20011,\nauthor={Cieśla, M. and Dias, S.P. and Longa, L. and Oliveira, F.A.},\ntitle={Synchronization induced by Langevin dynamics},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2001},\nvolume={63},\nnumber={6},\npages={1-4},\ndoi={10.1103/PhysRevE.63.065202},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85009296850&doi=10.1103%2fPhysRevE.63.065202&partnerID=40&md5=11507ee6bdd5b299b7adac290b66d621},\nabstract={A possibility of the chaotic synchronization in the case when the dynamics of the identical systems is governed by ordinary Langevin equations was addressed. By studying the Lennard-Jones chains of various lengths, it was shown that the synchronization can occur even when the frictional and the symmetric noise obey the fluctuation-dissipation theorem.},\nkeywords={Chaos theory;  Elementary particles;  Friction;  Heavy ions;  Lyapunov methods, Friction constant;  Langevin dynamics;  Lennard-Jones chains, Hydrodynamics},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Representation of pair correlations in nematics.\n \n \n \n \n\n\n \n Longa, L.; Cholewiakv, G.; Trebin, R.; and Luckhurst, G.\n\n\n \n\n\n\n European Physical Journal E, 4(1): 51-57. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"Representation$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa200151,\nauthor={Longa, L. and Cholewiakv, G. and Trebin, R. and Luckhurst, G.R.},\ntitle={Representation of pair correlations in nematics},\njournal={European Physical Journal E},\nyear={2001},\nvolume={4},\nnumber={1},\npages={51-57},\ndoi={10.1007/PL00013682},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0035233704&doi=10.1007%2fPL00013682&partnerID=40&md5=a061f78bfe440ae47265a34951b8986e},\nabstract={A complete expansion of equilibrium pair correlation functions for a uniaxial nematic phase composed of axially symmetric, non-polar and chiral molecules is proposed. Full advantage is taken of the symmetry of the nematic state and of the molecules. The explicit analysis and classification of the terms involving spherical harmonics with indices not exceeding 4 is given and illustrated using computer simulations for the nematic phase of a Gay-Berne mesogen. The theory is contrasted with the commonly used approach employing invariants that describe orientational correlations in molecular fluids. The role of the new representation in obtaining a correct understanding of a variety of observables, like the elastic constants, is demonstrated. In particular, the long-standing puzzle concerning the splay-bend degeneracy is resolved.},\ncorrespondence_address1={Longa, L.; Inst. fur Theor. und Angew. Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany; email: lechifuj@jetta.if.uj.edu.pl},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n High-LET-induced chromosomal damage: Time-dependent expression.\n \n \n \n \n\n\n \n Nasonova, E.; Ritter, S.; Gudowska-Nowak, E.; and Kraft, G.\n\n\n \n\n\n\n Physica Medica, 17(SUPPL. 1): 198-201. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"High-LET-induced$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Nasonova2001198,\nauthor={Nasonova, E. and Ritter, S. and Gudowska-Nowak, E. and Kraft, G.},\ntitle={High-LET-induced chromosomal damage: Time-dependent expression},\njournal={Physica Medica},\nyear={2001},\nvolume={17},\nnumber={SUPPL. 1},\npages={198-201},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0034846369&partnerID=40&md5=e086ad669f0ca7ee09c1000a81d8eddb},\nabstract={Chromosome aberrations are routinely analysed in metaphase cells at one sampling time post-irradiation. Yet, accumulating evidence shows that radiation-induced cycle perturbations and mitotic delay influence the yield of aberrations detectable in mitosis. In extended time-course studies an drastic increase in the number of aberrations with sampling time has been observed after particle irradiation, while after the exposure to sparsely ionizing radiation a less pronounced effect has been found. This difference in the time-course of chromosomal damage is particularly important for the determination of accurate RBE values. As will be discussed, meaningful RBE values for particles can only be obtained, if cells are analysed at multiple sampling times and the complete time-course of aberrations is considered. Otherwise, particle-induced damage will be over- or underestimated. Moreover, depending on the cell system chosen for the analysis, factors like the loss of damaged cells due to apoptosis or a permanent cell cycle arrest complicate the determination of accurate RBE values based on chromosome data.},\nauthor_keywords={High LET radiation;  Radiation risk assessment;  RBE;  Time-course of chromosome aberrations},\nkeywords={animal cell;  apoptosis;  cell cycle;  CHO cell;  chromosome aberration;  chromosome damage;  conference paper;  controlled study;  ionizing radiation;  linear energy transfer;  metaphase;  mitosis;  nonhuman;  radiation exposure;  radiation hazard, Animals;  Apoptosis;  Cell Cycle;  Cell Line;  Chromosome Aberrations;  Cricetinae;  Cricetulus;  Dose-Response Relationship, Radiation;  Heavy Ions;  Humans;  Linear Energy Transfer;  Metaphase;  Mitosis;  Relative Biological Effectiveness;  Skin;  Time Factors;  X-Rays, Animalia},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Mathematical models of radiation-induced mitotic delay: Time course analysis and statistics of lesions.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Kleczkowski, A.; Kraft, G.; Nasonova, E.; Ritter, S.; and Scholz, M.\n\n\n \n\n\n\n Physica Medica, 17(SUPPL. 1): 161-163. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"Mathematical$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak2001161,\nauthor={Gudowska-Nowak, E. and Kleczkowski, A. and Kraft, G. and Nasonova, E. and Ritter, S. and Scholz, M.},\ntitle={Mathematical models of radiation-induced mitotic delay: Time course analysis and statistics of lesions},\njournal={Physica Medica},\nyear={2001},\nvolume={17},\nnumber={SUPPL. 1},\npages={161-163},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0034852871&partnerID=40&md5=778f601b7eac8aed839e1dce1dad232e},\nabstract={Detailed investigations of high and low LET radiation induced chromosome aberrations in various mammalian cell lines have shown that the registered yield of aberrations depends on cell cycle progression delays. The effect of radiation on the cell kinetics can be analyzed in terms of kinetic growth models. The method yields the number of aberrant cells and the number of aberrations as totals obtained after integration over given time-interval.},\nauthor_keywords={Growth models;  Radiation-induced mitotic delay;  Yield of aberrations},\nkeywords={cell cycle;  cell kinetics;  chromosome aberration;  conference paper;  controlled study;  mathematical model;  mitosis inhibition;  nonhuman;  population dynamics;  radiation exposure, Animals;  Argon;  Cell Cycle;  Cells, Cultured;  Chromosome Aberrations;  Cricetinae;  Cricetulus;  Ions;  Kinetics;  Linear Energy Transfer;  Mitosis;  Models, Biological;  Relative Biological Effectiveness;  Time Factors, Mammalia},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Analysis of Ar-ion and X-ray-induced chromatin breakage and repair in V79 plateau-phase cells by the premature chromosome condensation technique.\n \n \n \n \n\n\n \n Nasonova, E.; Gudowska-Nowak, E.; Ritter, S.; and Kraft, G.\n\n\n \n\n\n\n International Journal of Radiation Biology, 77(1): 59-70. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"Analysis$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Nasonova200159,\nauthor={Nasonova, E. and Gudowska-Nowak, E. and Ritter, S. and Kraft, G.},\ntitle={Analysis of Ar-ion and X-ray-induced chromatin breakage and repair in V79 plateau-phase cells by the premature chromosome condensation technique},\njournal={International Journal of Radiation Biology},\nyear={2001},\nvolume={77},\nnumber={1},\npages={59-70},\ndoi={10.1080/0955300010001907},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0035139789&doi=10.1080%2f0955300010001907&partnerID=40&md5=c5b4dd84fae965ce7ae5db913122add9},\nabstract={Purpose: The premature chromosome condensation technique has been used to compare chromatin breakage and repair in noncycling V79 cells following high and low LET radiation. Materials and methods: Plateau-phase V79 cells were exposed to graded doses of low energy Ar ions (LET 1233 keV/μm) and X-rays. Cells were fused to mitotic V79 cells immediately after exposure to examine initial chromatin breakage or after various time intervals of post-irradiation incubation to investigate the kinetics of chromatin break rejoining as well as the fraction of unrejoined fragments. Results and conclusions: For both radiation qualities an average initial number of about 2.4 excess PCC fragments per cell per Gy was found increasing linearly with dose. The distributions of PCC chromosomes plus excess fragments among cells followed Poisson statistics after X-ray irradiation, while an overdispersion of the frequencies was observed after Ar-irradiation indicating that a single particle traversal through a cell nucleus can produce multiple chromatin lesions. Moreover, for both radiation types the rejoining of excess fragments has been examined. Both data sets could be fitted well to first-order kinetics with a single component. Despite similar rates of rejoining cellular repair was noticeably less effective for Ar ions than for X-rays. While after 10 h of post-irradiation incubation 60\\% of Ar ion induced excess fragments remained unrejoined, only 14\\% of X-ray-induced lesions were not rejoined. Furthermore, comparison of the residual number of excess PCC fragments with recently published data on the yield of chromosome aberrations in first postirradiation metaphases shows that for both radiation types more aberrations are detected in interphase than in metaphase cells. Yet, for comparable doses this difference is more pronounced for Ar ions indicating that scoring of high LET induced aberrations in metaphase cells might result in a significant underestimation of the produced damage.},\nkeywords={argon;  ion, animal cell;  article;  chromosome breakage;  controlled study;  DNA damage;  DNA repair;  metaphase;  nonhuman;  premature chromosome condensation;  priority journal;  radiation mutagenesis;  X ray, Animals;  Argon;  Cell Line;  Cell Nucleus;  Chromatin;  Chromosomes;  Cricetinae;  Dose-Response Relationship, Radiation;  Ions;  Kinetics;  Mitosis;  Models, Statistical;  Time Factors;  X-Rays, Animalia},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n Purpose: The premature chromosome condensation technique has been used to compare chromatin breakage and repair in noncycling V79 cells following high and low LET radiation. Materials and methods: Plateau-phase V79 cells were exposed to graded doses of low energy Ar ions (LET 1233 keV/μm) and X-rays. Cells were fused to mitotic V79 cells immediately after exposure to examine initial chromatin breakage or after various time intervals of post-irradiation incubation to investigate the kinetics of chromatin break rejoining as well as the fraction of unrejoined fragments. Results and conclusions: For both radiation qualities an average initial number of about 2.4 excess PCC fragments per cell per Gy was found increasing linearly with dose. The distributions of PCC chromosomes plus excess fragments among cells followed Poisson statistics after X-ray irradiation, while an overdispersion of the frequencies was observed after Ar-irradiation indicating that a single particle traversal through a cell nucleus can produce multiple chromatin lesions. Moreover, for both radiation types the rejoining of excess fragments has been examined. Both data sets could be fitted well to first-order kinetics with a single component. Despite similar rates of rejoining cellular repair was noticeably less effective for Ar ions than for X-rays. While after 10 h of post-irradiation incubation 60% of Ar ion induced excess fragments remained unrejoined, only 14% of X-ray-induced lesions were not rejoined. Furthermore, comparison of the residual number of excess PCC fragments with recently published data on the yield of chromosome aberrations in first postirradiation metaphases shows that for both radiation types more aberrations are detected in interphase than in metaphase cells. Yet, for comparable doses this difference is more pronounced for Ar ions indicating that scoring of high LET induced aberrations in metaphase cells might result in a significant underestimation of the produced damage.\n

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\n \n\n \n \n \n \n \n \n Constructive role of noise in signal transmissions by biomembrane proteins.\n \n \n \n \n\n\n \n Fuliński, A.; and Góra, P.\n\n\n \n\n\n\n Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 64(1 I): 011905/1-011905/11. 2001.\n \n\n\n\n
\n\n\n\n \n \n $\"Constructive$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Fulinski2001,\nauthor={Fuliński, A. and Góra, P.F.},\ntitle={Constructive role of noise in signal transmissions by biomembrane proteins},\njournal={Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},\nyear={2001},\nvolume={64},\nnumber={1 I},\npages={011905/1-011905/11},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0035394963&partnerID=40&md5=8653f0e3418a2383c7ac30aa186d9c6a},\nabstract={Another phenomenon in which noise helps in transmitting signals is presented. In particular, it is shown that when the incoming signal is coupled to the transmitting process in a multiplicative way, the addition of multiplicative noise improves the outgoing signal both quantitatively and qualitatively. This effect is of relevance for signal transduction in living organisms.},\nkeywords={Bioelectric potentials;  Bioreactors;  Cell membranes;  Enzyme kinetics;  Mathematical models;  Molecular biology;  Molecular structure;  Neurophysiology;  Thermodynamics, Biomembrane protein;  Biophysics;  Chemical flow reactor;  Environmental fluctuation;  Intercellular signal transduction;  Signal transmission, Proteins, adenosine triphosphatase (potassium sodium);  biomaterial;  protein, biophysics;  cell membrane;  chemistry;  kinetics;  metabolism;  normal distribution;  oscillometry;  procedures;  signal transduction;  synaptic transmission;  theoretical model;  time, Biocompatible Materials;  Biophysics;  Cell Membrane;  Kinetics;  Models, Theoretical;  Normal Distribution;  Oscillometry;  Proteins;  Signal Transduction;  Sodium-Potassium-Exchanging ATPase;  Synaptic Transmission;  Time Factors},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 2000\n \n \n (6)\n \n \n

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\n \n\n \n \n \n \n \n \n Structures and correlations in ideally aligned polar gay-berne systems.\n \n \n \n \n\n\n \n Longa, L.; Cholewiak, G.; and Stelzer, J.\n\n\n \n\n\n\n 2000.\n \n\n\n\n
\n\n\n\n \n \n $\"Structures$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@CONFERENCE{Longa2000801,\nauthor={Longa, L. and Cholewiak, G. and Stelzer, J.},\ntitle={Structures and correlations in ideally aligned polar gay-berne systems},\njournal={Acta Physica Polonica B},\nyear={2000},\nvolume={31},\nnumber={4},\npages={801-834},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33646975814&partnerID=40&md5=5341391d4feffcccb876869419bdaeba},\nabstract={We study an ideally oriented system of Gay-Berne particles with embedded longitudinal dipole moments. While keeping the translational degrees of freedom of the molecules unrestricted we assume that their dipoles can be oriented either parallel or antiparallel to the positive z axis of the laboratory frame. At high temperatures, this frustrated Gay-Berne mesogen exhibits an ideally oriented nematic phase, which is the reference state of the system. In the limit of vanishing dipole moment nematic, smectic-A and smectic B phases are stable. Interestingly, by changing the magnitude and location of the molecular dipole in the nematic reference state we found dipole-induced smectic A, smectic B and tetragonal crystal phases, in addition to crystalline structures with smectic Ad and A2-like dipolar organization. Various singlet, pair and triplet distribution functions were evaluated to elucidate short and long range organization in these phases. In particular, the importance of triplet correlations for a proper understanding of the structures and their local, dipolar organization is demonstrated.},\ncorrespondence_address1={Longa, L.; Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Phase transitions in a cholesteric close to a disordering surface.\n \n \n \n \n\n\n \n Żelazna, M.; Stelzer, J.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology, Section A: Molecular Crystals and Liquid Crystals, 350: 169-176. 2000.\n \n\n\n\n
\n\n\n\n \n \n $\"Phase$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Zelazna2000169,\nauthor={Żelazna, M. and Stelzer, J. and Longa, L.},\ntitle={Phase transitions in a cholesteric close to a disordering surface},\njournal={Molecular Crystals and Liquid Crystals Science and Technology, Section A: Molecular Crystals and Liquid Crystals},\nyear={2000},\nvolume={350},\npages={169-176},\ndoi={10.1080/10587250008025242},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0034442296&doi=10.1080%2f10587250008025242&partnerID=40&md5=8a48fb21938f1bb0987a4198c9c5d89b},\nabstract={The thermodynamic behaviour of a semi-infinite cholesteric sample close to a disordering surface is analyzed within the frame of the Landau-Ginzburg-de Gennes theory. In particular, the effect of the boundary on the field-induced cholesteric-nematic phase transition is considered. The appearance of a nematic layer on the top of the cholesteric bulk phase is predicted and an experiment which could possibly demonstrate this phenomenon is proposed.},\nauthor_keywords={Phase transitions;  Surface effects},\nkeywords={Boundary conditions;  Phase transitions;  Surface properties;  Surfaces;  Thermodynamic properties, Disordering surface;  Nematic layer, Cholesteric liquid crystals},\ncorrespondence_address1={Longa, L.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Influence of fluctuations on the phase diagram of chiral nematic liquid crystals.\n \n \n \n \n\n\n \n Englert, J.; Stark, H.; Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 61(3): 2759-2768. 2000.\n \n\n\n\n
\n\n\n\n \n \n $\"Influence$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Englert20002759,\nauthor={Englert, J. and Stark, H. and Longa, L. and Trebin, H.-R.},\ntitle={Influence of fluctuations on the phase diagram of chiral nematic liquid crystals},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={2000},\nvolume={61},\nnumber={3},\npages={2759-2768},\ndoi={10.1103/PhysRevE.61.2759},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0010033151&doi=10.1103%2fPhysRevE.61.2759&partnerID=40&md5=88bea917c4df0d9b6e94396193bf9deb},\nabstract={In a recent paper [Phys. Rev. Lett. 81, 1457 (1998)], we demonstrated that the phase diagram of the liquid crystalline blue phases, as calculated by means of Landau–de Gennes theory, displays serious deficiencies, which can only be removed if fluctuations are taken into account within statistical field theory. Here we present details of the calculations. The influence of fluctuations is treated self-consistently within a first order cumulant expansion. The square [Formula Presented] of the inverse correlation length of the alignment tensor field is introduced as an order parameter. In a simplified model two phases of differing [Formula Presented] appear at high chiralities, which are identified as the isotropic phase and the isostructural blue fog. The relationship between the cumulant expansion and the Brazovskiĭ method is illuminated. © 2000 The American Physical Society.},\nkeywords={Phase diagrams, Alignment tensors;  Chiral nematic liquid crystals;  Cumulant expansion;  Inverse correlation;  Landau-de Gennes theory;  Liquid crystalline;  Order parameter;  Statistical field theory, Nematic liquid crystals},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Micellar shape dependence of cholesteric pitch in lyotropic liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Bachteler, M.; Neto, A.; Cholewiak, G.; and Oliveira, F.\n\n\n \n\n\n\n Liquid Crystals, 27(12): 1669-1673. 2000.\n \n\n\n\n
\n\n\n\n \n \n $\"Micellar$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa20001669,\nauthor={Longa, L. and Bachteler, M. and Neto, A.M.F. and Cholewiak, G. and Oliveira, F.A.},\ntitle={Micellar shape dependence of cholesteric pitch in lyotropic liquid crystals},\njournal={Liquid Crystals},\nyear={2000},\nvolume={27},\nnumber={12},\npages={1669-1673},\ndoi={10.1080/026782900750037248},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0033637991&doi=10.1080%2f026782900750037248&partnerID=40&md5=a9975ecec2d9cdec09a4a8d06d783c70},\nabstract={A generalized Landau-Ginzburg-de Gennes theory of cholesteric pitch in lyotropic chiral liquid crystals is presented. Using the non-critical order parameter, introduced by Toledano and Figueiredo Neto, the question of pitch dependence on micellar shape is addressed. This extra order parameter accounts for the shape change of the micelles. The predictions agree qualitatively with the unique experimental observations of Lopes and Figueiredo Neto. © 2000 Taylor & Francis Group, LLC.},\nkeywords={article;  chemical structure;  chirality;  liquid crystal;  micelle;  X ray diffraction},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n High-LET-induced chromosome aberrations in V79 cells analysed in first and second post-irradiation metaphases.\n \n \n \n \n\n\n \n Ritter, S.; Nasonova, E.; Gudowska-Nowak, E.; Scholz, M.; and Kraft, G.\n\n\n \n\n\n\n International Journal of Radiation Biology, 76(2): 149-161. 2000.\n \n\n\n\n
\n\n\n\n \n \n $\"High-LET-induced$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Ritter2000149,\nauthor={Ritter, S. and Nasonova, E. and Gudowska-Nowak, E. and Scholz, M. and Kraft, G.},\ntitle={High-LET-induced chromosome aberrations in V79 cells analysed in first and second post-irradiation metaphases},\njournal={International Journal of Radiation Biology},\nyear={2000},\nvolume={76},\nnumber={2},\npages={149-161},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0033952890&partnerID=40&md5=42df8005c62e440bf2cbba23e5f718d6},\nabstract={Purpose: As an extension of previous studies, the time-course of high-LET-induced chromosomal damage was investigated in first- and second-cycle V79 Chinese hamster cells. Materials and methods: Cells were exposed in G1 to 10.4 MeV/u Ar ions (LET = 1226 keV/μm) and chromosomal damage was measured at 2 h sampling intervals between 10 h and 34 h after irradiation. To distinguish between cells in different post-irradiation cycles, the fluorescence-plus-Giemsa technique was applied. Results: For first- and second-generation cells, the number of aberrant metaphases and aberrations per metaphase were found to increase markedly with sampling time, demonstrating that cell cycle progression was delayed according to the number of lesions carried by the cell. To account for the time-dependent expression of chromosomal damage a mathematical approach was used based on the integrated flux of aberrant cells entering mitosis. Moreover, the analysis of Ar ion-induced chromosome lesions confirmed that high-LET radiation results in specific changes in the spectrum of aberration types. In particular, an increased rate of chromatid-type aberrations as well as a high frequency of chromosomal breaks was found, although the cells were exposed in G1. Conclusions: Due to the fact that cells collected at one sampling time are not representative of the entire population, the complete time-course of chromosomal damage has to be taken into account for the determination of a meaningful RBE value. Otherwise, the analysis of chromosomal damage can result in a pronounced over- or underestimation of the RBE depending on the subpopulation of cells entering mitosis at that particular sampling time.},\nkeywords={argon, animal cell;  article;  cell cycle;  cell cycle G1 phase;  cell strain V 79;  Chinese hamster;  chromatid;  chromosome aberration;  controlled study;  fluorescence;  Giemsa stain;  ionizing radiation;  mathematical analysis;  metaphase;  mitosis;  nonhuman;  priority journal;  radiation dose;  sampling, Animals;  Cell Line;  Chromosome Aberrations;  Chromosomes;  Cricetinae;  Cricetulus, Animalia;  Cricetinae;  Cricetulus griseus},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Universal character of stochastic resonance and a constructive role of white noise.\n \n \n \n \n\n\n \n Fuliński, A.; and Góra, P.\n\n\n \n\n\n\n Journal of Statistical Physics, 101(1-2): 483-493. 2000.\n \n\n\n\n
\n\n\n\n \n \n $\"Universal$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Fulinski2000483,\nauthor={Fuliński, A. and Góra, P.F.},\ntitle={Universal character of stochastic resonance and a constructive role of white noise},\njournal={Journal of Statistical Physics},\nyear={2000},\nvolume={101},\nnumber={1-2},\npages={483-493},\ndoi={10.1023/A:1026463523619},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0034288368&doi=10.1023%2fA%3a1026463523619&partnerID=40&md5=37941f86a502ee4eeb0b1fe09aa0a51a},\nabstract={It is shown that, in spite of claims put forward in the literature, the stochastic resonance (SR) appears even in linear systems - both overdamped and inertial -driven by Gaussian white noise, and even after averaging the asymptotics over the initial phase of the input signal. This supports recent suggestions that SR is a universal effect present in every stochastic process modulated by external signals. It is also shown that the noise may sustain the output signal which otherwise would vanish exponentially in the course of time.},\nauthor_keywords={Gaussian white noise;  Linear systems;  Stochastic resonance},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1999\n \n \n (1)\n \n \n

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\n \n\n \n \n \n \n \n \n Disorder effects in bridged molecular systems. Random matrix theory approach.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Brickmann, J.; and Papp, G.\n\n\n \n\n\n\n Cellular and Molecular Biology Letters, 4(1): 19-36. 1999.\n \n\n\n\n
\n\n\n\n \n \n $\"Disorder$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak199919,\nauthor={Gudowska-Nowak, E. and Brickmann, J. and Papp, G.},\ntitle={Disorder effects in bridged molecular systems. Random matrix theory approach},\njournal={Cellular and Molecular Biology Letters},\nyear={1999},\nvolume={4},\nnumber={1},\npages={19-36},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0032908065&partnerID=40&md5=b53fccaeeb2e21507f3e7bdec2c32344},\nabstract={Advances in nanotechnologies and molecular assembly techniques have brought much attention to the problem of molecular wires studied with respect to disorder and to increased electronic connectivity. In this communication we aim to use the techniques of Random Matrix Theory (RMT) in the formalism of Free Random Variables (FRV) to analyze and predict electronic properties of one-dimensional disordered bridged molecular systems. We discuss possible application of the method in biological and chemical context. As an example, based on recent achievements in the theory of nonhermitian ensembles of random matrices, we outline here an efficient procedure to calculate electron transfer matrix in electron conducting disordered materials. The approach can be applied to the variety of problems like analysis of final state-selected spectra in unimolecular chemical reactions or population dynamics of biological species.},\nauthor_keywords={Charge Transfer;  Green's Function Formalism;  Kinetics in Disordered Media},\nkeywords={article;  calculation;  chemical reaction kinetics;  mathematical analysis;  molecular dynamics;  molecular interaction;  molecular model;  population dynamics;  technique},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1998\n \n \n (6)\n \n \n

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\n \n\n \n \n \n \n \n \n Density functional approach to study the elastic constants of biaxial nematic liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Stelzer, J.; and Dunmur, D.\n\n\n \n\n\n\n Journal of Chemical Physics, 109(4): 1555-1566. 1998.\n \n\n\n\n
\n\n\n\n \n \n $\"Density$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19981555,\nauthor={Longa, L. and Stelzer, J. and Dunmur, D.},\ntitle={Density functional approach to study the elastic constants of biaxial nematic liquid crystals},\njournal={Journal of Chemical Physics},\nyear={1998},\nvolume={109},\nnumber={4},\npages={1555-1566},\ndoi={10.1063/1.476707},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0001591582&doi=10.1063%2f1.476707&partnerID=40&md5=68d57d9f348f81a43d46598a20fd2b80},\nabstract={A density functional theory for bulk and surface elastic constants of biaxial nematic liquid crystals is developed. It is based on a functional Taylor expansion of the free energy of a distorted biaxial nematic with respect to the one-particle distribution function. Detailed microscopic expressions for the biaxial elastic constants of bulk and surface deformations are derived by expanding further the distribution functions into symmetry-adapted Wigner matrices. The final expressions depend on generalized orientational order parameters characterizing the biaxial nematic and on expansion coefficients of the direct pair correlation function. The case where the expansions are truncated at the lowest nontrivial order with respect to the momentum index of the Wigner matrices is analyzed in detail. It gives only six distinct, nonzero bulk elastic constants. The mixed elastic constants, which measure distortions of more than one director, vanish within this approximation. As in the uniaxial case, a splay-bend degeneracy for all directors is apparent. The theory is next applied to the biaxial nematic phase recently studied by Biscarini et al. [Phys. Rev. Lett. 75, 1803 (1995)] providing numerical estimates of biaxial elastic constants for the case of thermodynamically stable biaxial ordering. It is shown that the values of the elastic constants connected with secondary directors are much lower than those associated with the primary one. © 1998 American Institute of Physics.},\ncorrespondence_address1={Longa, L.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Elastic constants of biaxial nematic liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Stelzer, J.; and Dunmur, D.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals, 323: 191-198. 1998.\n \n\n\n\n
\n\n\n\n \n \n $\"Elastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa1998191,\nauthor={Longa, L. and Stelzer, J. and Dunmur, D.},\ntitle={Elastic constants of biaxial nematic liquid crystals},\njournal={Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals},\nyear={1998},\nvolume={323},\npages={191-198},\ndoi={10.1080/10587259808048441},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0032299474&doi=10.1080%2f10587259808048441&partnerID=40&md5=ceb41f6e1d37beebb452e3186d0456fd},\nabstract={A microscopic theory is developed for the bulk and surface elastic constants of biaxial nematic liquid crystals. Our expressions depend on generalized orientational order parameters and on the direct pair correlation function. © 1998 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint.},\nauthor_keywords={Biaxial nematic;  Elastic constants},\nkeywords={Elasticity;  Functions;  Mathematical models;  Molecular orientation, Correlation functions;  Elastic constants, Nematic liquid crystals},\ncorrespondence_address1={Longa, L.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Fluctuations dominate the phase diagram of chiral nematic liquid crystals.\n \n \n \n \n\n\n \n Englert, J.; Longa, L.; Stark, H.; and Trebin, H.\n\n\n \n\n\n\n Physical Review Letters, 81(7): 1457-1460. 1998.\n \n\n\n\n
\n\n\n\n \n \n $\"Fluctuations$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Englert19981457,\nauthor={Englert, J. and Longa, L. and Stark, H. and Trebin, H.-R.},\ntitle={Fluctuations dominate the phase diagram of chiral nematic liquid crystals},\njournal={Physical Review Letters},\nyear={1998},\nvolume={81},\nnumber={7},\npages={1457-1460},\ndoi={10.1103/PhysRevLett.81.1457},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4243651367&doi=10.1103%2fPhysRevLett.81.1457&partnerID=40&md5=ea64f03acd40e55ab9378d69615b367a},\nabstract={Phase diagrams of the liquid-crystalline blue phases (BPs), as calculated by means of Landau theory, display two serious deficiencies: They contain a never-observed structure of space group O5, and BP II does not disappear at very high chiralities. Here we prove by a first-order cumulant expansion that neglect of fluctuations is the cause. We also observe a smooth transition from a strongly to a weakly correlated isotropic phase, which vanishes at large chiralities. It indicates the existence of a critical point and characterizes BP III as a second isotropic phase, in agreement with recent experiments. © 1998 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Electrostriction tensor of the cubic blue phases: The role of amplitudes.\n \n \n \n \n\n\n \n Żelazna, M.; Longa, L.; Trebin, H.; and Stark, H.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 57(6): 6711-6716. 1998.\n \n\n\n\n
\n\n\n\n \n \n $\"Electrostriction$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Zelazna19986711,\nauthor={Żelazna, M. and Longa, L. and Trebin, H.-R. and Stark, H.},\ntitle={Electrostriction tensor of the cubic blue phases: The role of amplitudes},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={1998},\nvolume={57},\nnumber={6},\npages={6711-6716},\ndoi={10.1103/PhysRevE.57.6711},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-11544254916&doi=10.1103%2fPhysRevE.57.6711&partnerID=40&md5=c2739a30362027f17e0ac88abca1eda9},\nabstract={The phenomenological theory of electrostriction of the cubic blue phases is further developed by generalizing the model of rigid helices [H. Stark and H.-R. Trebin, Phys. Rev. A 44, 2752 (1991)]. In the present approach not only the wave vectors of the cubic structures are distorted, but also the scalar amplitudes of the order parameter. By considering a full spectrum of the distortions exact formulas (within the Landau-deGennes approach) for the components of the electrostriction tensor are derived. Detailed results of the numerical calculations are compared with those obtained from the earlier model and with experimental data. It is shown that the electrostriction coefficients are strongly affected by the deformations of the amplitudes. Quantitatively, for low temperatures (or high chiralities) the contribution due to the deformed amplitudes exceeds that from the distortions of the wave vectors. The results are in good agreement with experimental data except for the region where the anomalous electrostriction of the blue phase I is observed. This proves that a correct description of the anomalous electrostriction is beyond the standard Landau-deGennes theory of the blue phases as suggested in our recent publication [L. Longa, M. Żelazna, H.-R. Trebin, and J. Mościcki, Phys. Rev. E 53, 6067 (1996)]. © 1998 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Disorder effects in dimerized bridged molecular systems.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Papp, G.; and Brickmann, J.\n\n\n \n\n\n\n Journal of Physical Chemistry A, 102(47): 9554-9558. 1998.\n \n\n\n\n
\n\n\n\n \n \n $\"Disorder$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak19989554,\nauthor={Gudowska-Nowak, E. and Papp, G. and Brickmann, J.},\ntitle={Disorder effects in dimerized bridged molecular systems},\njournal={Journal of Physical Chemistry A},\nyear={1998},\nvolume={102},\nnumber={47},\npages={9554-9558},\ndoi={10.1021/jp9820828},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0008136655&doi=10.1021%2fjp9820828&partnerID=40&md5=3a703b3c67265e19855c5e9d02984b10},\nabstract={We discuss a model for transport properties in a donor-acceptor system connected by a dimerized chain. The system is assumed to be subject to site-diagonal disorder. The average spectral properties of the system are discussed by using the random matrix Wegner model (Anderson's type tight-binding Hamiltonian (TBH)) for the electronic part of the problem. In our analysis we use the "Blue's function" (functional inverse of the resolvent) formalism. For a simple one-dimensional tight-binding picture, we show that the diagonal disorder destroys the energy gap emerging as a Peierls effect in a nonperturbed system without disorder, rederiving thus the results obtained earlier using different models of site randomness.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Bridged-assisted electron transfer. Random matrix theory approach.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Papp, G.; and Brickmann, J.\n\n\n \n\n\n\n Chemical Physics, 232(3): 247-255. 1998.\n \n\n\n\n
\n\n\n\n \n \n $\"Bridged-assisted$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak1998247,\nauthor={Gudowska-Nowak, E. and Papp, G. and Brickmann, J.},\ntitle={Bridged-assisted electron transfer. Random matrix theory approach},\njournal={Chemical Physics},\nyear={1998},\nvolume={232},\nnumber={3},\npages={247-255},\ndoi={10.1016/S0301-0104(98)00138-4},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0032375585&doi=10.1016%2fS0301-0104%2898%2900138-4&partnerID=40&md5=cce026a00a41e834a202c12a9d11d909},\nabstract={We discuss the effective donor/acceptor coupling for a bridged electron transfer system [T.J. Meyer, M.D. Newton, Eds., Chem. Phys. (Special Issue), 176 (1993)] with a site-diagonal disorder of bridge energies. The average spectral properties of the system are discussed by using the Wegner model (Anderson's type tight-binding Hamiltonian (TBH)) for the electronic part of the problem. Spectral properties of the system are discussed using the concept of the functional inverse of the resolvent ("Blue's function", [A. Zee, Nucl. Phys. B 474 (1996) 726]) for various limits of noise versus site-site coupling ratio.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1997\n \n \n (12)\n \n \n

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\n \n\n \n \n \n \n \n \n Antiferroelectric smectic ordering of dipolar molecules from Monte Carlo simulations.\n \n \n \n \n\n\n \n Cholewiak, G.; Stelzer, J.; and Longa, L.\n\n\n \n\n\n\n 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Antiferroelectric$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Cholewiak1997179,\nauthor={Cholewiak, G. and Stelzer, J. and Longa, L.},\ntitle={Antiferroelectric smectic ordering of dipolar molecules from Monte Carlo simulations},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={1997},\nvolume={3318},\npages={179-181},\ndoi={10.1117/12.299966},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0031390264&doi=10.1117%2f12.299966&partnerID=40&md5=43ed111a9181ea8a867090ce8ec5e40b},\nabstract={We have performed Monte Carlo simulations for elongated molecules assuming an ideal orientational order. The intermolecular forces were derived from the Gay-Berne model, where the long molecular axis were taken parallel to the z-direction. Additionally, we included dipole-dipole interactions by adding permanent dipoles along z. The dipoles were allowed to be oriented either up or down, similar to spin configurations in the Ising model. Their interactions were evaluated by using the Ewald summation technique. By changing temperature and the magnitude of the molecular dipoles we found an ideal nematic phase, smectc A1 or A2 phases.},\nauthor_keywords={Dipole-dipole interactions;  Monte Carlo simulation;  Orientational order},\nkeywords={Antiferroelectricity;  Computer simulation;  Molecular orientation;  Monte Carlo methods;  Smectic liquid crystals, Molecular dipoles, Nematic liquid crystals},\ncorrespondence_address1={Cholewiak, G.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, Kraków, Poland},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Elastic constants of Gay-Berne discotic nematic liquid crystal.\n \n \n \n \n\n\n \n Stelzer, J.; Bates, M.; Longa, L.; and Luckhurst, G.\n\n\n \n\n\n\n 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Elastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Stelzer1997175,\nauthor={Stelzer, J. and Bates, M.A. and Longa, L. and Luckhurst, G.R.},\ntitle={Elastic constants of Gay-Berne discotic nematic liquid crystal},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={1997},\nvolume={3318},\npages={175-178},\ndoi={10.1117/12.299964},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0031390291&doi=10.1117%2f12.299964&partnerID=40&md5=c34a85d921b42fce0ed7d936c2f6783b},\nabstract={A direct correlation function approach was used to evaluate the elastic constants for the Gay-Berne discotic nematic liquid crystal. The elastic constants depended on the orientational order parameters and the direct pair correlation function (DPCF) of the nematic phase. Results from the constant pressure Monte Carlo simulations were found to agree with experimental results.},\nauthor_keywords={Correlation function;  Elastic constants;  Monte Carlo simulation},\nkeywords={Anisotropy;  Correlation methods;  Elasticity;  Low temperature effects;  Monte Carlo methods, Elastic constants, Nematic liquid crystals},\ncorrespondence_address1={Stelzer, J.; Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Cracow, Poland},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Electrostriction of the cubic blue phases.\n \n \n \n \n\n\n \n Żelazna, M.; Longa, L.; Trebin, H.; and Stark, H.\n\n\n \n\n\n\n 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Electrostriction$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@CONFERENCE{Zelazna1997182,\nauthor={Żelazna, M. and Longa, L. and Trebin, H.-R. and Stark, H.},\ntitle={Electrostriction of the cubic blue phases},\njournal={Proceedings of SPIE - The International Society for Optical Engineering},\nyear={1997},\nvolume={3318},\npages={182-185},\ndoi={10.1117/12.299967},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0031390248&doi=10.1117%2f12.299967&partnerID=40&md5=fdc73c21e492bdc89c73d738eecaa994},\nabstract={The continuous deformation of the unit cells of the cubic blue phases under the influence of a weak electric field was described. The phenomena of electrostriction was studied within the framework of the standard Landau-Ginzburg-de Gennes theory for cholesteric liquid crystal. The approach explained the behavior of the blue phase II and was unable to explain electrostriction of blue phase I.},\nauthor_keywords={Cubic blue phase;  Electrostriction;  External electric field},\nkeywords={Crystallography;  Electrostriction;  Ground state, Cubic blue phases, Cholesteric liquid crystals},\ncorrespondence_address1={Żelazna, M.; Inst. fur Theor. und Angew. Physik, Universität Stuttgart, Pfaffenwaldring 57/VI, D-70550 Stuttgart, Germany},\ndocument_type={Conference Paper},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Computer simulation studies of anisotropic systems. XXVII. The direct pair correlation function of the Gay-Berne discotic nematic and estimates of its elastic constants.\n \n \n \n \n\n\n \n Stelzer, J.; Bates, M.; Longa, L.; and Luckhurst, G.\n\n\n \n\n\n\n Journal of Chemical Physics, 107(18): 7483-7492. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Computer$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Stelzer19977483,\nauthor={Stelzer, J. and Bates, M.A. and Longa, L. and Luckhurst, G.R.},\ntitle={Computer simulation studies of anisotropic systems. XXVII. The direct pair correlation function of the Gay-Berne discotic nematic and estimates of its elastic constants},\njournal={Journal of Chemical Physics},\nyear={1997},\nvolume={107},\nnumber={18},\npages={7483-7492},\ndoi={10.1063/1.474988},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000387436&doi=10.1063%2f1.474988&partnerID=40&md5=3566c417fd1ab08ac1fcaf877e69fd06},\nabstract={Monte Carlo simulations have been performed for a discotic liquid crystal composed of Gay-Berne particles. On the basis of these simulations for the nematic phase, a subset of the spherical harmonic expansion coefficients of the direct pair correlation function (DPCF) were determined from the pair distribution function (PDF) by solving the Ornstein-Zernike (OZ) equation. This was achieved by generalizing the Wiener-Hopf factorization scheme for the numerical solution of the OZ equation. Only the expansion coefficients gl1,l2,l(r) (lα≤4) of the PDF in the laboratory frame were used when solving the OZ equation; this means that the DPCF so obtained is equivalent to that for a nematic in which the director is randomly distributed. From the DPCF, the scaled Oseen-Zöcher-Frank elastic constants K11*, K22*, and K33*, as well as the surface constant K13*, have been calculated from the subset of expansion coefficients. Generally, we find that K33*&lt;K11*,&lt;K22*, in agreement with what is expected and found for discotic nematics. These results are quantitatively but not qualitatively different from those calculated with the help of analytical approximations for the the same spherical harmonic expansion coefficients of the direct pair correlation function. For example, the values of the bulk elastic constants determined via the OZ equation are about three times larger than the bulk elasticity obtained with the low density approximation. © 1997 American Institute of Physics.},\ncorrespondence_address1={Stelzer, J.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Blue phases in the presence of fluctuations. A one-star analysis.\n \n \n \n \n\n\n \n Englert, J.; Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals, 301: 397-401. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Blue$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Englert1997397,\nauthor={Englert, J. and Longa, L. and Trebin, H.-R.},\ntitle={Blue phases in the presence of fluctuations. A one-star analysis},\njournal={Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals},\nyear={1997},\nvolume={301},\npages={397-401},\ndoi={10.1080/10587259708041794},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4243118820&doi=10.1080%2f10587259708041794&partnerID=40&md5=cf0407405b4f2f81f24934aa49b8be92},\nabstract={Conventional mean-field theory renders the structure of the cubic blue phases correctly, but not their position on the phase diagram. Also it has not been possible to suppress the artificial body centered cubic structure O5. Within the framework of the weak crystallization theory we extend the Landau-Ginzburg-de Gennes free energy by including order parameter fluctuations. Calculations that involve one star of wave vectors destabilize the formerly dominant O5 structure.},\ncorrespondence_address1={Englert, J.; Inst. für Theor./Angew. Phys., Universität Stuttgart, Pfaffenwaldring 57, VI, Stuttgart, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Nonlinear dielectric susceptibility in blue phases of chiral liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Żelazna, M.; and Trebin, H.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals, 303: 237-247. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Nonlinear$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1997237,\nauthor={Longa, L. and Żelazna, M. and Trebin, H.-R.},\ntitle={Nonlinear dielectric susceptibility in blue phases of chiral liquid crystals},\njournal={Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals},\nyear={1997},\nvolume={303},\npages={237-247},\ndoi={10.1080/10587259708039430},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4143131033&doi=10.1080%2f10587259708039430&partnerID=40&md5=15ef480c22608ff1578b66fb7ee147a0},\nabstract={The deformation of the cubic blue phase I along the field changes from dilatation to compression or vice versa when the electric field vector is rotated from one crystallographic direction to another. This phenomenon is termed anomalous electrostriction and together with topology of phase diagrams of the blue phases awaits elucidation. Standard theory of blue phases is not able to explain these observations. Following the experiments of Pierański et al. we generalized the standard theory by incorporating a nonlinear dielectric susceptibility tensor (NDS). It is shown that the distortion of the cubic blue phase I in the presence of the NDS may display the anomalous electrostriction, in accordance with experiment. These results seem to indicate that nonlinear susceptibility tensor is a relevant order parameter for the blue phases.},\ncorrespondence_address1={Longa, L.; Jagiellonian University, Institute of Physics, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Rapini-papoular constants in a model nematic liquid crystal.\n \n \n \n \n\n\n \n Stelzer, J.; Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals, 304: 259-263. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Rapini-papoular$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Stelzer1997259,\nauthor={Stelzer, J. and Longa, L. and Trebin, H.-R.},\ntitle={Rapini-papoular constants in a model nematic liquid crystal},\njournal={Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals},\nyear={1997},\nvolume={304},\npages={259-263},\ndoi={10.1080/10587259708046969},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0042992325&doi=10.1080%2f10587259708046969&partnerID=40&md5=4f8e3e815fc6742c8f1fb5c659a36b47},\nabstract={The force constants for homeotropic surface anchoring of a model Gay-Berne nematic liquid crystal are derived by a local density functional method with data from molecular dynamics simulations. For the molecule-surface interaction both an anisotropic and an isotropic one-particle potential is taken. It is found that the values of the anchoring strengths are barely affected by the anisotropy of the surface potential, which indicates predominance of packing effects. Additionally, a surface-induced smectic A phase is being observed even though the phase is unstable in the bulk.},\ncorrespondence_address1={Stelzer, J.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Lyapunov exponents and coalescence of chaotic trajectories.\n \n \n \n \n\n\n \n Longa, L.; Dias, S.; and Curado, E.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 56(1): 259-263. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Lyapunov$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1997259,\nauthor={Longa, L. and Dias, S.P. and Curado, E.M.F.},\ntitle={Lyapunov exponents and coalescence of chaotic trajectories},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={1997},\nvolume={56},\nnumber={1},\npages={259-263},\ndoi={10.1103/PhysRevE.56.259},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0001351688&doi=10.1103%2fPhysRevE.56.259&partnerID=40&md5=c521ea00b3f8fa75abd7f0f1f8f4831e},\nabstract={Identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize. The synchronization process, which is a combined effect of the noise and of the deterministic part of the map, could show much more complex behavior than the one suggested by recent studies. In particular, it is demonstrated that when the noise couples the states of an ensemble of identical systems the change of sign of the largest Lyapunov exponent of the ensemble is not necessarily connected with the synchronization. © 1997 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Homeotropic surface anchoring of a gay-berne nematic liquid crystal.\n \n \n \n \n\n\n \n Stelzer, J.; Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55(6): 7085-7089. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Homeotropic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Stelzer19977085,\nauthor={Stelzer, J. and Longa, L. and Trebin, H.-R.},\ntitle={Homeotropic surface anchoring of a gay-berne nematic liquid crystal},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={1997},\nvolume={55},\nnumber={6},\npages={7085-7089},\ndoi={10.1103/PhysRevE.55.7085},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0001350701&doi=10.1103%2fPhysRevE.55.7085&partnerID=40&md5=105a7633b3ebef95cc29d303d9db879c},\nabstract={The ordering of a nematic liquid crystal in the presence of a smooth surface is analyzed in detail. In particular, the force constants for homeotropic anchoring are estimated by a local density functional method with data from molecular dynamics simulations. The system studied is a model Gay-Berne nematic liquid crystal. For the molecule-surface interaction both an anisotropic and an isotropic one-particle potential are taken. In both cases a surface-induced smectic A phase is being observed even though the phase is unstable in the bulk. © 1997 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Surface-induced order parameter profiles in a nematic liquid crystal from molecular dynamics simulations.\n \n \n \n \n\n\n \n Stelzer, J.; Galatola, P.; Barbero, G.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals, 299: 61-64. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Surface-induced$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Stelzer199761,\nauthor={Stelzer, J. and Galatola, P. and Barbero, G. and Longa, L.},\ntitle={Surface-induced order parameter profiles in a nematic liquid crystal from molecular dynamics simulations},\njournal={Molecular Crystals and Liquid Crystals Science and Technology Section A: Molecular Crystals and Liquid Crystals},\nyear={1997},\nvolume={299},\npages={61-64},\ndoi={10.1080/10587259708041974},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0030678790&doi=10.1080%2f10587259708041974&partnerID=40&md5=88705a41c6af0c3a6d8a01e7c87d1711},\nabstract={The tensor order parameter of a model nematic liquid crystal close to a rough surface has been analyzed by means of molecular dynamics simulations. We show that the rough surface induces a smectic C layering. Moving towards the bulk, the smectic order disappears and a depression in the uniaxial orientational order below its bulk value occurs, accompanied by a considerable biaxiality. Correspondingly, the director orientation undergoes a strong distortion localized within a few molecular lengths.},\nkeywords={Computer simulation;  Crystal orientation;  Molecular dynamics;  Surface roughness;  Tensors, Elastic distortion;  Surface induced order parameter profiles, Nematic liquid crystals},\ncorrespondence_address1={Stelzer, J.; Instytut Fizyki, Uniwersytet Jagielloński, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Molecular dynamics simulations of surface-induced ordering in a nematic liquid crystal.\n \n \n \n \n\n\n \n Stelzer, J.; Galatola, P.; Barbero, G.; and Longa, L.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55(1): 477-480. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Molecular$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Stelzer1997477,\nauthor={Stelzer, J. and Galatola, P. and Barbero, G. and Longa, L.},\ntitle={Molecular dynamics simulations of surface-induced ordering in a nematic liquid crystal},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={1997},\nvolume={55},\nnumber={1},\npages={477-480},\ndoi={10.1103/PhysRevE.55.477},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000444173&doi=10.1103%2fPhysRevE.55.477&partnerID=40&md5=37bc51f3d23ad61ee58efa643b5b8c30},\nabstract={By means of a molecular dynamics simulation, we show that a uniaxial nematic liquid crystal may exhibit an unusual ordering that appears within a few molecular lengths from a rough surface. In contact with the surface, a smectic-C layering is induced. Moving towards the bulk, the smectic order disappears and a decrease of the uniaxial orientational order below the bulk value occurs. The intermediate region between the surface-induced smectic-C ordering and the bulk nematic is characterized by a considerable degree of biaxiality. Correspondingly, the director orientation undergoes a strong distortion close to the surface. © 1997 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Two-level system with noise: Blue's function approach.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Papp, G.; and Brickmann, J.\n\n\n \n\n\n\n Chemical Physics, 220(1-2): 125-135. 1997.\n \n\n\n\n
\n\n\n\n \n \n $\"Two-level$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak1997125,\nauthor={Gudowska-Nowak, E. and Papp, G. and Brickmann, J.},\ntitle={Two-level system with noise: Blue's function approach},\njournal={Chemical Physics},\nyear={1997},\nvolume={220},\nnumber={1-2},\npages={125-135},\ndoi={10.1016/S0301-0104(97)00125-0},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000427031&doi=10.1016%2fS0301-0104%2897%2900125-0&partnerID=40&md5=c211577085bfddbbd5e88bdedf195a1b},\nabstract={The model of an effective two-level system coupled to a noise reservoir is treated by using the random matrix approach and generalized Blue's function representation. The calculated spectral properties of the system are shown to be in agreement with the numerically simulated results. Possible applications of the model in the field of condensed phase reactions are outlined. © 1997 Elsevier Science B.V.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Roundoff-induced coalescence of chaotic trajectories.\n \n \n \n \n\n\n \n Longa, L.; Curado, E.; and Oliveira, F.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54(3): R2201-R2204. 1996.\n \n\n\n\n
\n\n\n\n \n \n $\"Roundoff-induced$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1996,\nauthor={Longa, L. and Curado, E.M.F. and Oliveira, F.A.},\ntitle={Roundoff-induced coalescence of chaotic trajectories},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={1996},\nvolume={54},\nnumber={3},\npages={R2201-R2204},\ndoi={10.1103/PhysRevE.54.R2201},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4744364507&doi=10.1103%2fPhysRevE.54.R2201&partnerID=40&md5=b143d71419202047542f28b78ae7ee7d},\nabstract={Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as a function of the precision of calculations. Two generic behaviors of the average coalescence time are identified: exponential or linear. In both cases no synchronization occurs if iterations are done with infinite precision. © 1996 Theerican Physical Society.},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Jagiellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Electrostriction of the cubic blue phases in the presence of bond orientational order.\n \n \n \n \n\n\n \n Longa, L.; Żelazna, M.; Trebin, H.; and Mościcki, J.\n\n\n \n\n\n\n Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 53(6): 6067-6073. 1996.\n \n\n\n\n
\n\n\n\n \n \n $\"Electrostriction$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19966067,\nauthor={Longa, L. and Żelazna, M. and Trebin, H.-R. and Mościcki, J.},\ntitle={Electrostriction of the cubic blue phases in the presence of bond orientational order},\njournal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},\nyear={1996},\nvolume={53},\nnumber={6},\npages={6067-6073},\ndoi={10.1103/PhysRevE.53.6067},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-71049174280&doi=10.1103%2fPhysRevE.53.6067&partnerID=40&md5=5e96abb93dadae79b797f684a5116fc8},\nabstract={The cubic blue phase I displays anomalous electrostriction, i.e., if the electric field vector is rotated from one crystallographic direction to another, the deformation along the field changes from dilatation to compression or vice versa. Standard theories of blue phases based on an expansion of the free energy in powers of the alignment tensor Q(r) are not able to explain this anomaly. Cubic blue phases possess a strong nonlinear dielectric susceptibility [Formula Presented], as shown by experiments of Pierański, Cladis, Garel, and Barbet-Massin [J. Phys. (Paris) 47, 139 (1986)]. Hence the corresponding order parameter, which we denote “bond orientational tensor,” must be included in a theoretical description of the blue phases. Indeed, it has been proposed that the blue phase III is a structure of pure bond orientational order. Incorporating the bond orientational tensor into the free energy expansion, we have calculated the distortion of the [Formula Presented](I[Formula Presented]32) and [Formula Presented](P[Formula Presented]32) blue phase lattices by a weak electric field within the model of rigid helices. The resulting fourth-order electrostriction tensor is expressed in terms of the order parameters characterizing the [Formula Presented] and the [Formula Presented] ground states of the undistorted system. The relations generalize studies of Stark and Trebin [Phys. Rev. A 44, 2752 (1991)]. It is found that there exists a range for the coupling strength between Q(r) and [Formula Presented] where anomalous electrostriction is predicted for blue phase I, in accordance with experiment. Thus bond orientational order seems to provide a link between two unsolved problems: that of the anomalous electrostriction of the blue phase I and that of the structure of the blue phase III. © 1996 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Dynamic effects in non-adiabatic charge transfer.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.\n\n\n \n\n\n\n Chemical Physics, 212(1 SPEC. ISSUE): 115-123. 1996.\n \n\n\n\n
\n\n\n\n \n \n $\"Dynamic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak1996115,\nauthor={Gudowska-Nowak, E.},\ntitle={Dynamic effects in non-adiabatic charge transfer},\njournal={Chemical Physics},\nyear={1996},\nvolume={212},\nnumber={1 SPEC. ISSUE},\npages={115-123},\ndoi={10.1016/S0301-0104(96)00144-9},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0030588777&doi=10.1016%2fS0301-0104%2896%2900144-9&partnerID=40&md5=80facdb73ee8da5b406372248fc59581},\nabstract={Charge transfer processes in weak inter- or intramolecular complexes can be dominated by tunnelling effects. Conformational transitions within the medium or in the donor-acceptor complex result in the change of the distance between the centers and thus influence the coupling between the states of a transferred charge. We discuss the effective transfer coupling for non-adiabatic processes in a random medium. We analyze the interference of spatial dichotomic fluctuations within the medium with the overall kinetic rate.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Description of interacting channel gating using a stochastic Markovian model.\n \n \n \n \n\n\n \n Manivannan, K.; Mathias, R.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Bulletin of Mathematical Biology, 58(1): 141-174. 1996.\n \n\n\n\n
\n\n\n\n \n \n $\"Description$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Manivannan1996141,\nauthor={Manivannan, K. and Mathias, R.T. and Gudowska-Nowak, E.},\ntitle={Description of interacting channel gating using a stochastic Markovian model},\njournal={Bulletin of Mathematical Biology},\nyear={1996},\nvolume={58},\nnumber={1},\npages={141-174},\ndoi={10.1007/BF02458286},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0030060555&doi=10.1007%2fBF02458286&partnerID=40&md5=1c5ad729c59243cdbd983d1035ea65a0},\nabstract={Single-channel recordings from membrane patches frequently exhibit multiple conductance levels. In some preparations, the steady-state probabilities of observing these levels do not follow a binomial distribution. This behavior has been reported in sodium channels, potassium channels, acetylcholine receptor channels and gap junction channels. A non-binomial distribution suggests interaction of the channels or the presence of channels with different open probabilities. However, the current trace sometimes exhibits single transitions spanning several levels. Since the probability of simultaneous transitions of independent channels is infinitesimally small, such observations strongly suggest a cooperative gating behavior. We present a Markov model to describe the cooperative gating of channels using only the all-points current amplitude histograms for the probability of observing the various conductance levels. We investigate the steady-state (or equilibrium) properties of a system of N channels and provide a scheme to express all the probabilities in terms of just two parameters. The main feature of our model is that lateral interaction of channels gives rise to cooperative gating. Another useful feature is the introduction of the language of graph theory which can potentially provide a different avenue to study ion channel kinetics. We write down explicit expressions for systems of two, three and four channels and provide a procedure to describe the system of N channels. © 1996 Society for Mathematical Biology.},\nkeywords={cholinergic receptor;  ion channel, animal;  article;  biological model;  cell junction;  cell membrane;  channel gating;  mathematics;  patch clamp;  physiology;  probability, Animals;  Cell Membrane;  Gap Junctions;  Ion Channel Gating;  Ion Channels;  Markov Chains;  Mathematics;  Models, Biological;  Patch-Clamp Techniques;  Receptors, Cholinergic, Animalia},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Inhibition of thrombin generation by aspirin is blunted in hypercholesterolemia.\n \n \n \n \n\n\n \n Szczeklik, A.; Musial, J.; Undas, A.; Swadzba, J.; Góra, P.; Piwowarska, W.; and Duplaga, M.\n\n\n \n\n\n\n Arteriosclerosis, Thrombosis, and Vascular Biology, 16(8): 948-954. 1996.\n \n\n\n\n
\n\n\n\n \n \n $\"Inhibition$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Szczeklik1996948,\nauthor={Szczeklik, A. and Musial, J. and Undas, A. and Swadzba, J. and Góra, P.F. and Piwowarska, W. and Duplaga, M.},\ntitle={Inhibition of thrombin generation by aspirin is blunted in hypercholesterolemia},\njournal={Arteriosclerosis, Thrombosis, and Vascular Biology},\nyear={1996},\nvolume={16},\nnumber={8},\npages={948-954},\ndoi={10.1161/01.ATV.16.8.948},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0029833959&doi=10.1161%2f01.ATV.16.8.948&partnerID=40&md5=01e1fc92608e09d428ed9013fb2bc79f},\nabstract={Recent evidence indicates that aspirin inhibits thrombin generation in clotting blood. We noticed that this effect was less pronounced in patients with hypercholesterolemia. The aim of the study was to prove this observation. The effects of aspirin on thrombin generation were evaluated in (1) 46 healthy volunteers, 2 hours after ingestion of a single, 500-mg dose and (2) 28 survivors of myocardial infarction who took 300 mg aspirin/d for 2 weeks. In both populations, two well-matched subgroups were distinguished, using a serum cholesterol level of 6.2 mmol/L (240 mg/dL) and an LDL cholesterol level of 4.0 mmol/L (155 mg/dL) as borderline. Thrombin generation was monitored ex vivo in blood emerging from a skin microvasculature injury and additionally, in a single-dose study in vitro in recalcified plasma. Aspirin depressed thrombin generation in the group of subjects with serum cholesterol <6.2 mmol/L and LDL cholesterol <4.0 mmol/L but not in the group with high blood cholesterol levels. Inhibitory effects of aspirin were more pronounced after the 2-week treatment than after a single dose. There was a significant correlation between total serum cholesterol or LDL cholesterol and total amount of thrombin generated after aspirin treatment. In subjects with high blood cholesterol levels, thrombin generation was not affected by aspirin. Blunting of aspirin action in hypercholesterolemia might be explained by (1) alterations in platelet lipid-protein matrix that render their membrane proteins less accessible for acetylation by aspirin and (2) changes in composition and structure of plasma lipoproteins that diminish the chance of aspirin to interact with prothrombin.},\nauthor_keywords={hypercholesterolemia;  myocardial infarction;  thrombin generation},\nkeywords={acetylsalicylic acid;  cholesterol;  low density lipoprotein cholesterol;  membrane protein;  prothrombin;  thrombin, acetylation;  adult;  aged;  article;  blood clotting;  cholesterol blood level;  female;  heart infarction;  human;  human experiment;  hypercholesterolemia;  lipid bilayer;  lipoprotein blood level;  male;  priority journal;  protein analysis;  protein lipid interaction;  protein structure;  thrombocyte structure},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1995\n \n \n (3)\n \n \n

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\n \n\n \n \n \n \n \n \n Elastic Constants of Nematic Liquid Crystals from Molecular Dynamics Simulations.\n \n \n \n \n\n\n \n Stelzer, J.; Trebin, H.; and Longa, L.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 262(1): 455-461. 1995.\n \n\n\n\n
\n\n\n\n \n \n $\"Elastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Stelzer1995455,\nauthor={Stelzer, J. and Trebin, H.-R. and Longa, L.},\ntitle={Elastic Constants of Nematic Liquid Crystals from Molecular Dynamics Simulations},\njournal={Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals},\nyear={1995},\nvolume={262},\nnumber={1},\npages={455-461},\ndoi={10.1080/10587259508033547},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0001035542&doi=10.1080%2f10587259508033547&partnerID=40&md5=4a7319634dd05dd1d36ee7be471e25f8},\nabstract={The Frank-Oseen elastic constants K11, K22 and K33 as well as the surface constants K13 and K24 have been calculated for Gay-Berne nematic liquid crystal with anisotropy parameters k = 3 and k’ = 5. In deriving the elastic constants a direct correlation function approach of Poniewierski and Stecki1 in a version proposed by Lipkin et al.5 was choosen. The final formulas have been expressed in terms of the orientational order parameters and of the angular coefficients of the direct correlation function of an unoriented nematic. The latter have been determined exactly from the molecular dynamics simulations in the NVT ensemble. Results for the surface elastic constants, qualitatively different than those obtained from all previous treatments, clearly show that the surface deformations are strongly sensitive to details of the direct correlation function. Obtained values of surface elastic constants are partly negative and an order of magnitude smaller than bulk elastic constants. © 1995, Taylor & Francis Group, LLC. All rights reserved.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Molecular dynamics simulations of a Gay-Berne nematic liquid crystal: Elastic properties from direct correlation functions.\n \n \n \n \n\n\n \n Stelzer, J.; Longa, L.; and Trebin, H.\n\n\n \n\n\n\n The Journal of Chemical Physics, 103(8): 3098-3107. 1995.\n \n\n\n\n
\n\n\n\n \n \n $\"Molecular$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Stelzer19953098,\nauthor={Stelzer, J. and Longa, L. and Trebin, H.-R.},\ntitle={Molecular dynamics simulations of a Gay-Berne nematic liquid crystal: Elastic properties from direct correlation functions},\njournal={The Journal of Chemical Physics},\nyear={1995},\nvolume={103},\nnumber={8},\npages={3098-3107},\ndoi={10.1063/1.470268},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000995504&doi=10.1063%2f1.470268&partnerID=40&md5=39370c7b997267e0240d33a926009e61},\nabstract={We report molecular dynamics simulations of a Gay-Berne nematic liquid crystal at constant temperature and density/pressure using the generalization of an algorithm recently proposed by Toxvaerd [Phys. Rev. E 47, 343 (1993)]. On the basis of these simulations the absolute values of the Oseen-Zöcher- Frank elastic constants K11, K22, and K33 as well as the surface constants K13 and K24 have been calculated ab initio within the framework of the direct correlation function approach of Lipkin et al. [J. Chem. Phys. 82, 472 (1985)]. The angular coefficients of the direct pair correlation function, which enter the final equations, have been determined from the computer simulation data for the pair correlation function of the nematic by combining the Ornstein-Zernike relation and the Wiener-Hopf factorization scheme. The unoriented nematic approximation has been assumed when constructing the reference state of Lipkin et al. By an extensive study of the model over a wide range of temperatures, densities and pressures, very detailed information is provided on the elastic behavior of the Gay-Berne nematic. Interestingly, it is found that the results for the surface elastic constants are qualitatively different from those obtained with the help of analytical approximations for the isotropic direct pair correlation function. For example, the values of the surface elastic constants are partly negative and an order of magnitude smaller than the bulk elasticity. The negative values of the surface constant K13 indicate on the possibility of surface instabilities of the director pattern in a thin, free standing or weakly anchored Gay-Berne nematic liquid crystal. © 1995 American Institute of Physics.},\ncorrespondence_address1={Stelzer, J.; Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Electron tunneling through diffusive pathways in proteins.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.\n\n\n \n\n\n\n Neural Network World, 5(2): 151-162. 1995.\n \n\n\n\n
\n\n\n\n \n \n $\"Electron$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak1995151,\nauthor={Gudowska-Nowak, Ewa},\ntitle={Electron tunneling through diffusive pathways in proteins},\njournal={Neural Network World},\nyear={1995},\nvolume={5},\nnumber={2},\npages={151-162},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0029203883&partnerID=40&md5=85ea30303ea94d3ef34b88c47accc753},\nabstract={We discuss the effective transfer coupling TDA for electron tunneling processes in a random medium. Vibration induced electron tunneling is a commonly accepted picture of a physical mechanism for electron transfer (ET) in proteins. In general, electron tunneling leads to an exponential decrease of the ET rate with distance. Vibrational motion of nonbonded groups along the tunneling pathways strongly influences the temperature dependence of the rate. The paper analyzes a positive interference of spatial fluctuations within the protein medium on the enhancement of the overall kinetic rate.},\nkeywords={Band structure;  Electron transport properties;  Molecular vibrations;  Proteins;  Thermal effects, Diffusive pathways;  Electron transfer, Electron tunneling},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1994\n \n \n (3)\n \n \n

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\n \n\n \n \n \n \n \n \n Biaxiality of chiral liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Fink, W.; and Trebin, H.\n\n\n \n\n\n\n Physical Review E, 50(5): 3841-3852. 1994.\n \n\n\n\n
\n\n\n\n \n \n $\"Biaxiality$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19943841,\nauthor={Longa, L. and Fink, W. and Trebin, H.-R.},\ntitle={Biaxiality of chiral liquid crystals},\njournal={Physical Review E},\nyear={1994},\nvolume={50},\nnumber={5},\npages={3841-3852},\ndoi={10.1103/PhysRevE.50.3841},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-26144433815&doi=10.1103%2fPhysRevE.50.3841&partnerID=40&md5=9dbf794a35480e3cc489ce083ff24ff9},\nabstract={Using the extended de GennesGinzburgLandau free energy expansion in terms of the anisotropic part Q(x) of the dielectric tensor field, a connection between the phase biaxiality and the stability of various chiral liquid crystalline phases is studied. In particular, the cholesteric phase, the cubic blue phases, and the phases characterized by an icosahedral space group symmetry are analyzed in detail. Also, a general question concerning the applicability of the mean-field approximation in describing the chiral phases is addressed. By an extensive study of the model over a wide range of the parameters, a class of phenomena, not present in the original de GennesGinzburgLandau model, has been found. These include (a) reentrant phase transitions between the cholesteric and the cubic blue phases and (b) the existence of distinct phases of the same symmetry but of different biaxialities. The phase biaxiality serves here as an extra scalar order parameter. Furthermore, it has been shown that, due to the presence of competing bulk terms in the free energy, the stable phases may acquire a large degree of biaxiality, also in liquid crystalline materials composed of effectively uniaxial molecules. A study of icosahedral space group symmetries provides a partial answer to the question of whether or not an icosahedral quasicrystalline state can be stabilized in liquid crystals. Although, in general, the stability of icosahedral structures could be enhanced by the extra terms in the free energy, no absolutely stable icosahedral phase has been found. © 1994 The American Physical Society.},\ncorrespondence_address1={Longa, L.; International Centre for Theoretical Physics, P. O. Box 586, 34100 Trieste, Italy},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Effects of heterogeneity on relaxation dynamics and electron-transfer rates in photosynthetic reaction centers.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.\n\n\n \n\n\n\n Journal of Physical Chemistry, 98(20): 5257-5264. 1994.\n \n\n\n\n
\n\n\n\n \n \n $\"Effects$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak19945257,\nauthor={Gudowska-Nowak, E.},\ntitle={Effects of heterogeneity on relaxation dynamics and electron-transfer rates in photosynthetic reaction centers},\njournal={Journal of Physical Chemistry},\nyear={1994},\nvolume={98},\nnumber={20},\npages={5257-5264},\ndoi={10.1021/j100071a015},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0028441804&doi=10.1021%2fj100071a015&partnerID=40&md5=01ee2508462dbe05f541060841ac6246},\nabstract={The excitation and relaxation of the nuclear medium modes which couple to the electronic states can significantly modulate the dynamics of electron transfer (ET) when the relaxation process is sufficiently slow. Recent molecular dynamics (MD) studies of reaction centers (RC) show that the dynamical response of the proteic environment has noticeable nonlinear behavior, and the observed slow decay of the time correlation functions is suggestive of glassy dynamics in the system. In this context, we consider two possible models for the RC relaxation times. The first model of a "static disorder" discusses relaxation dynamics in the presence of a "rough" free energy potential. A rough potential has a smooth background on which randomly fluctuating local perturbations are superimposed. Distribution of the perturbations determines the relaxation dynamics and may be responsible for the dynamical, temperature-dependent phase change in the medium. In particular, the mean sojourn time in such a free energy potential well is no longer exponentially distributed, and this effect may explain the complex decay dynamics of the primary donor in RCs. A similar behavior can be found in a complementary model of a "dynamic disorder" where spontaneous conformational isomerization of chromophores causes the transition from one configurational state to another and back. The importance of such a transition, induced by a polar group isomerization in the neighboring amino acid side chains of bacteriochlorophylls, has been suggested in the MD studies of the time-variations of the electrostatic energy at the chromophores in RCs. With the assumption that the time the system spends in a particular conformation state is Poisson distributed, the decay time is evaluated by a stochastic analysis of the isomerization process and compared with kinetics predicted by other models of the primary ET in RCs. © 1994 American Chemical Society.},\nkeywords={Electron transfer;  Heterogeneity;  Molecular dynamics;  Reaction centers, Chemical relaxation;  Electron energy levels;  Order disorder transitions;  Phase transitions, Photosynthesis},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Revivals and superstructures in the Jaynes-Cummings model with a small number of photons.\n \n \n \n \n\n\n \n Góra, P.; and Jedrzejek, C.\n\n\n \n\n\n\n Physical Review A, 49(4): 3046-3056. 1994.\n \n\n\n\n
\n\n\n\n \n \n $\"Revivals$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gora19943046,\nauthor={Góra, P.F. and Jedrzejek, C.},\ntitle={Revivals and superstructures in the Jaynes-Cummings model with a small number of photons},\njournal={Physical Review A},\nyear={1994},\nvolume={49},\nnumber={4},\npages={3046-3056},\ndoi={10.1103/PhysRevA.49.3046},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-5544235525&doi=10.1103%2fPhysRevA.49.3046&partnerID=40&md5=abd71828b8c8feb6210f39f2401621d9},\nabstract={If the quantized field has initially a small mean number of photons (n̄∼2), quantum inversion displays distinct revivals, provided the detuning between the field and the atom is large as compared to the coupling constant [(g/Δ)21]. However, the amplitudes of these revivals are very small. For long times, individual revivals partially overlap to form fractional revivals, and for even longer times superrevivals (revivals of the revivals) appear. These phenomena result from the beating of modes of the quantized field that are not nearest neighbors. The envelope of the electric field associated with the oscillating atomic dipole exhibits similar superstructures, but with a period twice that for the atomic inversion. © 1994 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1993\n \n \n (5)\n \n \n

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\n \n \n

\n \n\n \n \n \n \n \n \n Bond orientational order in the blue phases of chiral liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Physical Review Letters, 71(17): 2757-2760. 1993.\n \n\n\n\n
\n\n\n\n \n \n $\"Bond$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19932757,\nauthor={Longa, L. and Trebin, H.-R.},\ntitle={Bond orientational order in the blue phases of chiral liquid crystals},\njournal={Physical Review Letters},\nyear={1993},\nvolume={71},\nnumber={17},\npages={2757-2760},\ndoi={10.1103/PhysRevLett.71.2757},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4143113760&doi=10.1103%2fPhysRevLett.71.2757&partnerID=40&md5=187b63f091287cd0ff93fa1488cbe2c5},\nabstract={It is proposed to describe blue phases by two order parameters: the standard alignment tensor field Qαβ(r) and a bond orientational tensor order parameter of octahedral point group symmetry scrO(432). The yet mysterious blue fog then emerges as a liquid of purely cubic bond orientational order. In the transition from the cubic blue phases to the blue fog the cubic space group symmetry is being reduced to its octahedral factor group. Because of the new order parameter the scrO5(scrI432) structure, which in all previous calculations proved most stable, but never has been detected in experiment, is eliminated from the phase diagram. © 1993 The American Physical Society.},\ncorrespondence_address1={Longa, L.; Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Liquid-crystalline blue phase III and structures of broken icosahedral symmetry.\n \n \n \n \n\n\n \n Longa, L.; Fink, W.; and Trebin, H.\n\n\n \n\n\n\n Physical Review E, 48(3): 2296-2299. 1993.\n \n\n\n\n
\n\n\n\n \n \n $\"Liquid-crystalline$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19932296,\nauthor={Longa, L. and Fink, W. and Trebin, H.-R.},\ntitle={Liquid-crystalline blue phase III and structures of broken icosahedral symmetry},\njournal={Physical Review E},\nyear={1993},\nvolume={48},\nnumber={3},\npages={2296-2299},\ndoi={10.1103/PhysRevE.48.2296},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0006858873&doi=10.1103%2fPhysRevE.48.2296&partnerID=40&md5=0a855aefbb99d4fe1907799c575242b3},\nabstract={The structure of the liquid-crystalline blue phase III (BPIII) is still unknown and remains one of the mysteries of liquid-crystal physics. We take all icosahedral space-group symmetries of the reciprocal space for BPIII and study their thermodynamic stability within the frame of an extended de Gennes-Ginzburg-Landau free-energy expansion. The stability of the icosahedral structures is compared with that of the cholesteric phase and of the cubic blue phases. Strikingly, even though the extended model contains three extra parameters, we could not detect a region of parameter space where icosahedral structures are absolutely stable just below the isotropic phase. © 1993 The American Physical Society.},\ncorrespondence_address1={Longa, L.; Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Transport of a quantum particle in a dimer under the influence of two correlated dichotomic colored noises.\n \n \n \n \n\n\n \n Fuliński, A.; and Góra, P.\n\n\n \n\n\n\n Physical Review E, 48(5): 3510-3517. 1993.\n \n\n\n\n
\n\n\n\n \n \n $\"Transport$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Fulinski19933510,\nauthor={Fuliński, A. and Góra, P.F.},\ntitle={Transport of a quantum particle in a dimer under the influence of two correlated dichotomic colored noises},\njournal={Physical Review E},\nyear={1993},\nvolume={48},\nnumber={5},\npages={3510-3517},\ndoi={10.1103/PhysRevE.48.3510},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0008479701&doi=10.1103%2fPhysRevE.48.3510&partnerID=40&md5=1a93c7358e05955f18ba07f1b5e168ad},\nabstract={The transport of a quantum particle in a dimer is investigated for the case in which the influence of phonons from different branches is modeled by a dichotomic stochastic process with exponentially decaying correlations. For physical reasons, these processes might be correlated. An exact equation for the correlations between matrix elements of the density operator and both stochastic processes is constructed, and eigenvalues of the corresponding matrix are found numerically. Correlations between the noises reduce the range of incoherent transport. Various criteria for distinguishing between coherent and incoherent motion are also discussed. © 1993 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Superstructures, fractional revivals, and optical Schrödinger-cat states in the Jaynes-Cummings model.\n \n \n \n \n\n\n \n Góra, P.; and Jedrzejek, C.\n\n\n \n\n\n\n Physical Review A, 48(4): 3291-3300. 1993.\n \n\n\n\n
\n\n\n\n \n \n $\"Superstructures,$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gora19933291,\nauthor={Góra, P.F. and Jedrzejek, C.},\ntitle={Superstructures, fractional revivals, and optical Schrödinger-cat states in the Jaynes-Cummings model},\njournal={Physical Review A},\nyear={1993},\nvolume={48},\nnumber={4},\npages={3291-3300},\ndoi={10.1103/PhysRevA.48.3291},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000823933&doi=10.1103%2fPhysRevA.48.3291&partnerID=40&md5=c5698c00e7b85c2434f5f9402d6a235d},\nabstract={It is shown that if the initial photon distribution is narrow (sub-Poissonian), long-time behavior of the atomic inversion is dominated by very spectacular and almost-periodical superstructures. These superstructures generalize phenomena described previously (fractional revivals). They result from beating of not-nearest-neighbor eigenstates of the system, and we show which beats lead to particular types of revivals. In addition, the cavity field develops macroscopically distinguishable states (optical Schrödinger-cat states). These stages emerge when the fractional revivals with a frequency of 2/tR, 3tR, and 4/tR, where tR is the single-revival period, appear for the second, fourth, sixth, etc., time in the superstructure pattern. © 1993 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Serum immunoglobulin E and sudden cardiac arrest during myocardial infarction.\n \n \n \n \n\n\n \n Szczeklik, A.; Dropinski, J.; and Góra, P.\n\n\n \n\n\n\n Coronary Artery Disease, 4(11): 1029-1032. 1993.\n \n\n\n\n
\n\n\n\n \n \n $\"Serum$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Szczeklik19931029,\nauthor={Szczeklik, A. and Dropinski, J. and Góra, P.F.},\ntitle={Serum immunoglobulin E and sudden cardiac arrest during myocardial infarction},\njournal={Coronary Artery Disease},\nyear={1993},\nvolume={4},\nnumber={11},\npages={1029-1032},\ndoi={10.1097/00019501-199311000-00012},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0027745334&doi=10.1097%2f00019501-199311000-00012&partnerID=40&md5=c75d9748e793410ae759bf2fea0587ed},\nabstract={Background: While studying the immunological response to acute myocardial infarction (AMI) we noticed that patients who on admission had a high serum immunoglobulin E (IgE) level were less likely to die suddenly. This observation seemed to deserve verification since atopic patients whose production of IgE was excessive had been reported to have depressed haemostatic platelet function and impaired thrombinogenesis. Methods: We measured levels of serum IgE in 386 patients with AMI at the time of admission to the coronary care unit. Patients were divided into two groups, depending on the presence (n = 55) or absence (n = 331) of sudden cardiac arrest. The two groups did not differ with respect to age, sex, or risk factors for coronary artery disease. Results: The mean level of serum IgE was significantly higher in the group without sudden cardiac arrest than in the group with this complication. In a separate study we found that high serum IgE levels were associated with delayed thrombin generation in the clotting blood of survivors of myocardial infarction. Conclusion: Early determination of serum IgE levels might help to detect patients at risk of sudden cardiac arrest during myocardial infarction. Patients with high serum IgE levels might be protected against sudden cardiac death through the depression of clot formation because of the late appearance of thrombin in their coronary arteries.},\nauthor_keywords={atopy;  myocardial infarction;  serum IgE;  sudden cardiac death;  thrombin generation},\nkeywords={immunoglobulin E;  thrombin, acute heart infarction;  adult;  aged;  article;  atopy;  blood clotting;  controlled study;  coronary care unit;  female;  heart arrest;  high risk patient;  human;  immune response;  immunoglobulin blood level;  major clinical study;  male;  priority journal;  sudden death;  thrombin time},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1992\n \n \n (4)\n \n \n

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\n \n\n \n \n \n \n \n \n Theory of liquid crystalline phases in biaxial systems.\n \n \n \n \n\n\n \n Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 212(1): 115-124. 1992.\n \n\n\n\n
\n\n\n\n \n \n $\"Theory$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1992115,\nauthor={Longa, L. and Trebin, H.-R.},\ntitle={Theory of liquid crystalline phases in biaxial systems},\njournal={Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals},\nyear={1992},\nvolume={212},\nnumber={1},\npages={115-124},\ndoi={10.1080/10587259208037252},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84947883670&doi=10.1080%2f10587259208037252&partnerID=40&md5=b79e9af84ac69542479f2240ed6a37e5},\nabstract={General properties of SO(3) — symmetric free-energy expansion for biaxial systems are studied. In particular, all invariants in powers of a trace-less and symmetric quadrupole tensor order parameter and a vector order parameter are identified and their relation to possible local structures are found. A new class of polar, chiral biaxial phases are predicted. © 1992, Taylor & Francis Group, LLC. All rights reserved.},\nauthor_keywords={biaxial systems;  invariant expansion;  order parameters;  Sc* phases},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic transitions between a limit cycle and a fixed point.\n \n \n \n \n\n\n \n Gaveau, B.; Gudowska-Nowak, E.; Kapral, R.; and Moreau, M.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 188(1-3): 443-451. 1992.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gaveau1992443,\nauthor={Gaveau, B. and Gudowska-Nowak, E. and Kapral, R. and Moreau, M.},\ntitle={Stochastic transitions between a limit cycle and a fixed point},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={1992},\nvolume={188},\nnumber={1-3},\npages={443-451},\ndoi={10.1016/0378-4371(92)90286-Y},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000579821&doi=10.1016%2f0378-4371%2892%2990286-Y&partnerID=40&md5=c19734cb591e7c4b359861d455bd0455},\nabstract={We study the transitions induced near a Hopf bifurcation by a colored noised with finite memory. The rate coefficient of dynamic processes is defined in a general way when their kinetics depends on the configurations of a fluctuating environment. The resulting expression permits to characterize the time scale of the transitions between a limit cycle and a fixed point due to a dichotomous switching of the order parameter in case new stable "species" can be defined. © 1992.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Transition rates in a stochastic medium.\n \n \n \n \n\n\n \n Gaveau, B.; Gudowska-Nowak, E.; Kapral, R.; and Moreau, M.\n\n\n \n\n\n\n Physical Review A, 46(2): 825-836. 1992.\n \n\n\n\n
\n\n\n\n \n \n $\"Transition$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gaveau1992825,\nauthor={Gaveau, B. and Gudowska-Nowak, E. and Kapral, R. and Moreau, M.},\ntitle={Transition rates in a stochastic medium},\njournal={Physical Review A},\nyear={1992},\nvolume={46},\nnumber={2},\npages={825-836},\ndoi={10.1103/PhysRevA.46.825},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0040365720&doi=10.1103%2fPhysRevA.46.825&partnerID=40&md5=537d669be0f6badf5bfda20e5d41cdf3},\nabstract={A description of noise-induced reaction rates in a fluctuating medium is presented. The environment is assumed to exist in a number of distinct configurations and transitions between these configurations are governed by a Markov process. The environment fluctuations drive transitions between reactant and product regions described by a set of generalized coordinates. General expressions for the rate coefficients are presented and illustrated for a reaction driven by dichotomous switching between fixed-point and limit-cycle states. © 1992 The American Physical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Antiplatelet drugs and generation of thrombin in clotting blood.\n \n \n \n \n\n\n \n Szczeklik, A.; Krzanowski, M.; Góra, P.; and Radwan, J.\n\n\n \n\n\n\n Blood, 80(8): 2006-2011. 1992.\n \n\n\n\n
\n\n\n\n \n \n $\"Antiplatelet$ Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Szczeklik19922006,\nauthor={Szczeklik, A. and Krzanowski, M. and Góra, P. and Radwan, J.},\ntitle={Antiplatelet drugs and generation of thrombin in clotting blood},\njournal={Blood},\nyear={1992},\nvolume={80},\nnumber={8},\npages={2006-2011},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0026801372&partnerID=40&md5=e1c64bbbd092767194dc7ec81c46c1e2},\nabstract={Platelets participate in formation of thrombin through secretion of coagulation factors and by providing a catalytic surface on which prothrombinase complex is assembled. We studied the effects of four antiplatelet drugs on thrombin formation in healthy volunteers. Thrombin generation was monitored both in vitro-in recalcified plasma-and ex vivo-in blood emerging from a standardized skin microvasculature injury, which also served to determine bleeding time. A mathematical model has been developed to describe the latter reaction. It is based on estimation of the rate of increase in fibrinopeptide A (FPA), a specific marker of thrombin activity, in blood emerging from skin incisions. Two hours after the ingestion of 500 mg of aspirin, thrombin formation became significantly impaired both in vitro and ex vivo. In contrast, 2 hours after the oral administration of placebo, indomethacin 50 mg, or OKY-046 (a thromboxane synthase inhibitor) 400 mg, thrombinogenesis remained unaltered. Ticlopidine, studied either 3 hours after 500 mg oral administration, or after 5 days of intake at a daily dose of 500 mg, had no effect on thrombin generation. Thus, aspirin, contrary to other antiplatelet drugs, depresses thrombin formation in clotting blood, a phenomenon that might be of clinical relevance. It is suggested that aspirin exerts this effect by acetylating prothrombin and/or macromolecules of platelet membrane.},\nkeywords={acetylsalicylic acid;  antithrombocytic agent;  fibrinopeptide a;  indometacin;  ozagrel;  ticlopidine, article;  bleeding;  bleeding time;  blood clotting;  controlled study;  drug effect;  human;  mathematical model;  priority journal;  protein secretion;  thrombin time, Adult;  Aspirin;  Blood Coagulation;  Female;  Fibrinopeptide A;  Human;  In Vitro;  Indomethacin;  Kinetics;  Male;  Mathematics;  Methacrylates;  Middle Age;  Models, Biological;  Platelet Aggregation Inhibitors;  Skin;  Thrombin;  Thromboxane-A Synthase;  Ticlopidine},\ndocument_type={Article},\nsource={Scopus},\n}\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%\n% Bartłomiej Dybiec\n%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n

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\n \n 1990\n \n \n (2)\n \n \n

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\n \n\n \n \n \n \n \n \n Spontaneous polarization in chiral biaxial liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Physical Review A, 42(6): 3453-3469. 1990.\n \n\n\n\n
\n\n\n\n \n \n $\"Spontaneous$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19903453,\nauthor={Longa, L. and Trebin, H.-R.},\ntitle={Spontaneous polarization in chiral biaxial liquid crystals},\njournal={Physical Review A},\nyear={1990},\nvolume={42},\nnumber={6},\npages={3453-3469},\ndoi={10.1103/PhysRevA.42.3453},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000323384&doi=10.1103%2fPhysRevA.42.3453&partnerID=40&md5=078039dc6ebc49b74b012a35482b0ffe},\nabstract={A phenomenological theory of polar structures in chiral biaxial liquid crystals is constructed exploiting the properties of a symmetric and traceless tensor order parameter field Q (r) and of a polar field P(r). Full advantage is taken of the symmetry of the order parameters by systematic use of the method of integrity bases, which allows us to establish an expansion of the most general SO(3)-invariant free-energy density to arbitrary powers in the components Q and P. A coordinate-independent parametrization of the invariants is introduced that yields a classification of local polar structures and some predictions about possible topologies of phase diagrams without the necessity of performing numerical calculations. As one prominent result, the theory predicts a polar, chiral biaxial state that exists due to a piezoelectric coupling of a chiral biaxial tensor field and the polarization field and which disappears if tensor is uniaxial. We then provide a general theory of flexopolarization in biaxial systems. A general biaxial system is described by 12 fundamental flexopolarization modes. Special cases, obtained by imposing symmetry restrictions to the tensor field Q, reduce the number of modes. Finally, the theory is applied to chiral phases. Simple polar chiral structures including cholesteric and smectic-C* liquid crystals are analyzed. In particular, it is shown that if the smectic-C* phase is stabilized due to the piezoelectric coupling between Q, P, and a density wave, then it must be described as a biaxial uniform spiral with at least two nonvanishing commensurate harmonics. The minimization of the quadratic part of the Landaude Gennes energy supplemented by (flexo)polarization terms may give rise to incommensurate two- or three-dimensional polar structures that can be stabilized by cubic terms. © 1990 The American Physical Society.},\ncorrespondence_address1={Longa, L.; Institute of Physics, Jagellonian University, Reymonta 4, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Conformational and environmental effects on bacteriochlorophyll optical spectra: Correlations of calculated spectra with structural results.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Newton, M.; and Fajer, J.\n\n\n \n\n\n\n Journal of Physical Chemistry, 94(15): 5795-5801. 1990.\n \n\n\n\n
\n\n\n\n \n \n $\"Conformational$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Gudowska-Nowak19905795,\nauthor={Gudowska-Nowak, E. and Newton, M.D. and Fajer, J.},\ntitle={Conformational and environmental effects on bacteriochlorophyll optical spectra: Correlations of calculated spectra with structural results},\njournal={Journal of Physical Chemistry},\nyear={1990},\nvolume={94},\nnumber={15},\npages={5795-5801},\ndoi={10.1021/j100378a036},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-33751553603&doi=10.1021%2fj100378a036&partnerID=40&md5=613397a83cf16afe140440c97f239f00},\nabstract={Recent structural data for porphyrins and (bacterio)chlorophylls have demonstrated the skeletal flexibility of the chromophores. Experimental redox and optical results for puckered porphyrins have also established that such conformational variations can affect the highest occupied and lowest unoccupied molecular orbitals of the chromophores and thereby modulate their light-absorption properties. The concept is applied to the bacteriochlorophyll a (BChl) antenna protein complex from Prosthecochloris aestuarii, whose structure has been solved by X-ray diffraction (J. Mol. Biol. 1986, 188, 443). INDO/s calculations, based on the crystallographic data for the seven individual BChls that comprise the antenna complex, yield absorption maxima that reflect the observed conformational variations and clearly establish that skeletal differences can influence the optical properties of the chromophores. Additional effects due to axial ligands, substituent orientations, and neighboring residues are also assessed. © 1990 American Chemical Society.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1989\n \n \n (5)\n \n \n

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\n \n\n \n \n \n \n \n \n Order-parameter theories of phase diagrams for antiferroelectric smectic-A phases:Role of orientational degrees of freedom.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n Liquid Crystals, 5(2): 443-461. 1989.\n \n\n\n\n
\n\n\n\n \n \n $\"Order-parameter$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1989443,\nauthor={Longa, L.},\ntitle={Order-parameter theories of phase diagrams for antiferroelectric smectic-A phases:Role of orientational degrees of freedom},\njournal={Liquid Crystals},\nyear={1989},\nvolume={5},\nnumber={2},\npages={443-461},\ndoi={10.1080/02678298908045395},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2842559043&doi=10.1080%2f02678298908045395&partnerID=40&md5=93c765f61df96b8ed35aa4023929a74d},\nabstract={Using exact relations between Landau and molecular approaches, the symmetryinduced topologies of phase diagrams are studied for antiferroelectric smectic-A phases. In particular, the tricritical points are found for a large class of orderparameter theories of nematic-smectic A (-A1, -AD) and -A2 (NA) phase transitions. These include generalizations to antiferroelectric smectic-A phases of McMillan and Meyer-Lubensky mean-field theories and the Ramakrishnan-Youssouff(RY) density-functional approach. The use of these different approaches allows study of influence of various couplings between nematic (orientational) and smectic (translational) degrees of freedom and polarization field, P1(cos θ), on various NA and AA phase transitions. From the results, it is of interest that the coupling between orientational degrees of freedom (P4(cos θ) and density waves can destabilize the smectic-A phase at low temperatures-pointing to the existence of a nematic-smectic-A-reentrant-nematic phase transition. A possible relation of this result to Ad, C2, Cd and [ctilde] phases is discussed. Some relations between Fourier components of correlation functions and order parameters at tricritical points are derived from the RY density-functional theory. Despite some limitations, the theory presented here seems to provide the simplest approach to study topologies of phase diagrams in molecular theories. © 1989 Taylor and Francis Group, LLC.},\ncorrespondence_address1={Longa, L.; Universität Paderborn, Physikalische Chemie, Postfach 1621, Paderborn, 4790, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Integrity basis approach to the elastic free energy functional of liquid crystals:I. Classification of basic elastic modes.\n \n \n \n \n\n\n \n Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Liquid Crystals, 5(2): 617-622. 1989.\n \n\n\n\n
\n\n\n\n \n \n $\"Integrity$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1989617,\nauthor={Longa, L. and Trebin, H.-R.},\ntitle={Integrity basis approach to the elastic free energy functional of liquid crystals:I. Classification of basic elastic modes},\njournal={Liquid Crystals},\nyear={1989},\nvolume={5},\nnumber={2},\npages={617-622},\ndoi={10.1080/02678298908045412},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0041972892&doi=10.1080%2f02678298908045412&partnerID=40&md5=7a7082a13125bc9656973e7892c7ab0e},\nabstract={Using the method integrity basis, the most general SO(3)-invariant free energy density up to all powers in αxβ and up to second order in Qαxβ,γ is established. The method provides all analytically independent elastic modes for nematics and cholesterics in the form of 33 so-called, irreducible invariants. Interestingly, among the irreducible invariants there are only three chiral terms (i.e. linear in Qαxβ,γ). They give rise locally to three independent helix modes in chiral, biaxial liquid crystals. This conclusion generalizes results of Trebin and Govers and Vertogen and contradicts a statement of Pleiner and Brandt, according to which only one twist term is supposed to exist. The most general free energy expansion can be written as sum of 39 additive invariants, which are multiplied by arbitrary polynomials in TrQ2 and TrQ3. © 1989 Taylor and Francis Group, LLC.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Structure of the elastic free energy for chiral nematic liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; and Trebin, H.\n\n\n \n\n\n\n Physical Review A, 39(4): 2160-2168. 1989.\n \n\n\n\n
\n\n\n\n \n \n $\"Structure$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19892160,\nauthor={Longa, L. and Trebin, H.-R.},\ntitle={Structure of the elastic free energy for chiral nematic liquid crystals},\njournal={Physical Review A},\nyear={1989},\nvolume={39},\nnumber={4},\npages={2160-2168},\ndoi={10.1103/PhysRevA.39.2160},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0001098824&doi=10.1103%2fPhysRevA.39.2160&partnerID=40&md5=aa1956d0078485544afaa95ccbfa75f7},\nabstract={In Landaude Gennes theory, the free energy f of liquid crystals is expanded into powers of a symmetric, traceless tensor order parameter Q± and its derivatives Q±,. The expansion is subject to the condition that f is a scalar, i.e., invariant under all rotations of the group SO(3). Using the method of integrity basis, we have established the most general SO(3)-invariant free-energy density up to all powers in Q± and up to second order in Q±,. It turns out that this free-energy density is composed of 39 invariants, which are multiplied by arbitrary polynomials in TrQ2 and TrQ3. On the other hand, these 39 invariants can be expressed as polynomials of 33 so-called irreducible invariants. Interestingly, among the irreducible invariants there are only three chiral terms (i.e., linear in Q±,). They locally give rise to three independent helix modes in chiral, biaxial liquid crystals. This conclusion generalizes results of Trebin [J. Phys. (Paris) 42, 1573 (1981)] and Govers and Vertogen [Phys. Rev. A 31, 1957 (1985); 34, 2520 (1986)] and contradicts a statement of Pleiner and Brand [Phys. Rev. A 24, 2777 (1981); 34, 2528 (1986)], according to which only one twist term is supposed to exist. Some possibilities, leading to a smaller number of the irreducible invariants, are also discussed in detail. These special forms of the elastic free-energy expansion are obtained by imposing additional symmetry restrictions on the field Q. One arrives, for example, at a system of soft biaxial nematic phases by requiring TrQ2=const, at a system of biaxial phases with TrQ3=const, or at a system with fixed moduli of the order parameter (hard biaxial phases) by requiring both. In all cases the number of irreducible invariants is reduced significantly. For example, hard biaxial phases can be described using only 12 irreducible invariants among which three are chiral. Furthermore, three irreducible invariants can be eliminated if surface terms vanish. In all limiting cases relations between irreducible invariants are given explicitly. © 1989 The American Physical Society.},\ncorrespondence_address1={Longa, L.; Jagellonian University, Department of Statistical Physics, Reymonta 4, Krakaw, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n In Landaude Gennes theory, the free energy f of liquid crystals is expanded into powers of a symmetric, traceless tensor order parameter Q± and its derivatives Q±,. The expansion is subject to the condition that f is a scalar, i.e., invariant under all rotations of the group SO(3). Using the method of integrity basis, we have established the most general SO(3)-invariant free-energy density up to all powers in Q± and up to second order in Q±,. It turns out that this free-energy density is composed of 39 invariants, which are multiplied by arbitrary polynomials in TrQ2 and TrQ3. On the other hand, these 39 invariants can be expressed as polynomials of 33 so-called irreducible invariants. Interestingly, among the irreducible invariants there are only three chiral terms (i.e., linear in Q±,). They locally give rise to three independent helix modes in chiral, biaxial liquid crystals. This conclusion generalizes results of Trebin [J. Phys. (Paris) 42, 1573 (1981)] and Govers and Vertogen [Phys. Rev. A 31, 1957 (1985); 34, 2520 (1986)] and contradicts a statement of Pleiner and Brand [Phys. Rev. A 24, 2777 (1981); 34, 2528 (1986)], according to which only one twist term is supposed to exist. Some possibilities, leading to a smaller number of the irreducible invariants, are also discussed in detail. These special forms of the elastic free-energy expansion are obtained by imposing additional symmetry restrictions on the field Q. One arrives, for example, at a system of soft biaxial nematic phases by requiring TrQ2=const, at a system of biaxial phases with TrQ3=const, or at a system with fixed moduli of the order parameter (hard biaxial phases) by requiring both. In all cases the number of irreducible invariants is reduced significantly. For example, hard biaxial phases can be described using only 12 irreducible invariants among which three are chiral. Furthermore, three irreducible invariants can be eliminated if surface terms vanish. In all limiting cases relations between irreducible invariants are given explicitly. © 1989 The American Physical Society.\n

\n\n\n

\n \n\n \n \n \n \n \n \n Phase diagrams of cholesteric liquid crystals obtained with a generalized landau-de gennes theory.\n \n \n \n \n\n\n \n Longa, L.; Monselesan, D.; and Trebin, H.\n\n\n \n\n\n\n Liquid Crystals, 5(3): 889-898. 1989.\n \n\n\n\n
\n\n\n\n \n \n $\"Phase$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Longa1989889,\nauthor={Longa, L. and Monselesan, D. and Trebin, H.-R.},\ntitle={Phase diagrams of cholesteric liquid crystals obtained with a generalized landau-de gennes theory},\njournal={Liquid Crystals},\nyear={1989},\nvolume={5},\nnumber={3},\npages={889-898},\ndoi={10.1080/02678298908026395},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2842530103&doi=10.1080%2f02678298908026395&partnerID=40&md5=74085d2f9a983f3be36f820a60486d58},\nabstract={Phase diagrams of chiral nematic liquid crystals are studied within the framework of a generalized Landau-Ginzburg-de Gennes theory. Using the parametrization of Grebel, Hornreich, and Shtrikman for the tensor order parameter Q, all relevant elastic terms are included for the helicoidal phase and the blue phases of chiral nematic liquid crystals up to fourth order in Q and its gradient ∂Q. The influence of the additional elastic terms on the phase diagrams of the chiral nematic phases is then investigated. The theory correctly describes the variation of the pitch with temperature and the induced biaxiality of the cholesteric phase. The results resolve the discrepancies encountered by Hornreich and Shtrikman in the comparison of experiment and theory. New features in the topology of the phase diagrams of blue phases, like re-entrant phase transitions, are predicted. © 1989 Taylor & Francis Group, LLC.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n\n\n

\n \n\n \n \n \n \n \n \n Stochastic versus chaotic dynamics in a deterministic system.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.; Kleczkowski, A.; and Williams, G.\n\n\n \n\n\n\n Journal of Statistical Physics, 54(1-2): 539-560. 1989.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Gudowska-Nowak1989539,\nauthor={Gudowska-Nowak, E. and Kleczkowski, A. and Williams, G.O.},\ntitle={Stochastic versus chaotic dynamics in a deterministic system},\njournal={Journal of Statistical Physics},\nyear={1989},\nvolume={54},\nnumber={1-2},\npages={539-560},\ndoi={10.1007/BF01023494},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34249969130&doi=10.1007%2fBF01023494&partnerID=40&md5=4fa1d34ad6e0cc6ce3faedb4982b1d60},\nabstract={We analyze a dynamical system whose time evolution depends on an externally controlled model parameter. We observe that the introduction of state-dependent perturbations induces a variety of phenomena which can have either a chaotic or stochastic nature. We analyze the sensitivity of the dynamics and the underlying attractors to the strength, frequency, and time correlations of the external perturbations. © 1989 Plenum Publishing Corporation.},\nauthor_keywords={Chaos;  noise-induced transitions;  state-dependent perturbations},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n\n\n\n\n\n

\n

\n \n 1987\n \n \n (2)\n \n \n

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\n \n \n

\n \n\n \n \n \n \n \n \n Metallic Glasses and Chiral Nematic Liquid Crystals.\n \n \n \n \n\n\n \n Trebin, H.; Longa, L.; and Salzgeber, B.\n\n\n \n\n\n\n physica status solidi (b), 144(1): 73-84. 1987.\n \n\n\n\n
\n\n\n\n \n \n $\"Metallic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n

\n

@ARTICLE{Trebin198773,\nauthor={Trebin, H.‐R. and Longa, L. and Salzgeber, B.},\ntitle={Metallic Glasses and Chiral Nematic Liquid Crystals},\njournal={physica status solidi (b)},\nyear={1987},\nvolume={144},\nnumber={1},\npages={73-84},\ndoi={10.1002/pssb.2221440107},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0023451840&doi=10.1002%2fpssb.2221440107&partnerID=40&md5=dc568233d30dfe36de5fa82846d8618d},\nabstract={Geometrical frustration exists in both metallic glasses and chiral nematic liquid crystals. Applying results from the Landau‐Ginzburg theory of liquid crystals and from polytope models for the amorphous state, a frustrated free‐energy density for metallic glasses is derived. It is expressed in terms of an order parameter that characterizes the bond orientation of neighbouring atoms. Copyright © 1987 WILEY‐VCH Verlag GmbH & Co. KGaA},\nkeywords={CRYSTALS, LIQUID - Structure, CHIRAL NEMATIC LIQUID CRYSTALS;  FRUSTRATED FREE-ENERGY DENSITY;  LANDAU-GINZBURG THEORY;  ORDER PARAMETER;  POLYTOPE MODELS, GLASS, METALLIC},\ncorrespondence_address1={Trebin, H.‐R.; Institut Für Theoretische Und Angewandte Physik, Universität StuttgartGermany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

\n

\n\n\n\n\n\n

\n\n\n

\n \n\n \n \n \n \n \n \n An extension of the landau-ginzburg-de gennes theory for liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; Monselesan, D.; and Trebin, H.\n\n\n \n\n\n\n Liquid Crystals, 2(6): 769-796. 1987.\n \n\n\n\n
\n\n\n\n \n \n $\"An$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Longa1987769,\nauthor={Longa, L. and Monselesan, D. and Trebin, H.-R.},\ntitle={An extension of the landau-ginzburg-de gennes theory for liquid crystals},\njournal={Liquid Crystals},\nyear={1987},\nvolume={2},\nnumber={6},\npages={769-796},\ndoi={10.1080/02678298708086335},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000441352&doi=10.1080%2f02678298708086335&partnerID=40&md5=26ecb4b725bb3a0b05109633a0e6afed},\nabstract={Using angular momentum representation a method is proposed that allows the systematic construction of a generalized Landau-de Gennes elastic free energy of liquid crystals, in powers of a symmetric and traceless tensor order parameter, polarization field, of external fields and all respective derivatives. By this method all linearly independent elastic invariants and surface terms are constructed for nematics and cholesterics up to fourth order terms. In particular it is shown that up to fourth order in the tensor order parameter there are nineteen bulk elastic constants and four surface terms in the free energy of a general, biaxial nematic. In addition, the stability of this expansion is studied in detail. Some special cases of the elastic free energy of liquid crystals, already discussed in the literature, are reexamined and discrepancies with our results are emphasized. Finally, a thermo-dynamically correct way of establishing contact between the generalized de Gennes elastic free energy and other theories, like those of Oseen-Frank or Meyer, is proposed by applying fluctuation theory. Thus, the degeneracy of splay and bend elastic constants is removed even when these are calculated from the standard de Gennes free energy. Restrictions on higher order elastic constants are also obtained by comparing mean field relations and stability conditions with available experimental data. © 1987 Taylor & Francis Group, LLC.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1986\n \n \n (4)\n \n \n

\n

\n \n \n

\n \n\n \n \n \n \n \n \n A systematic approach to the calculation of tricritical temperature with application to the nematic-smectic A phase transition.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n Zeitschrift für Physik B Condensed Matter, 64(3): 357-361. 1986.\n \n\n\n\n
\n\n\n\n \n \n $\"A$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Longa1986357,\nauthor={Longa, L.},\ntitle={A systematic approach to the calculation of tricritical temperature with application to the nematic-smectic A phase transition},\njournal={Zeitschrift für Physik B Condensed Matter},\nyear={1986},\nvolume={64},\nnumber={3},\npages={357-361},\ndoi={10.1007/BF01303606},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-30344438652&doi=10.1007%2fBF01303606&partnerID=40&md5=be7352ab194f67595e189af47f946519},\nabstract={Using the Landau expansion equations have been found that allow for systematic calculations of tricritical temperature for a given molecular model. The theory has been applied to nematic-smectic A (NA) phase transition of liquid crystals. It has been shown exactly that the NA tricritical temperature depends only on the couplings between the two lowest order translational order parameters and the orientational degrees of freedom. Numerical results of Mayer and Lubensky for the NA tricritical point have been derived exactly. Also a stability condition of the obtained solution has been discussed. © 1986 Springer-Verlag.},\ncorrespondence_address1={Longa, L.; Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57/VI, Stuttgart 80, D-7000, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n\n\n

\n \n\n \n \n \n \n \n \n On the tricritical point of the nematic-smectic A phase transition in liquid crystals.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n The Journal of Chemical Physics, 85(5): 2974-2985. 1986.\n \n\n\n\n
\n\n\n\n \n \n $\"On$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Longa19862974,\nauthor={Longa, L.},\ntitle={On the tricritical point of the nematic-smectic A phase transition in liquid crystals},\njournal={The Journal of Chemical Physics},\nyear={1986},\nvolume={85},\nnumber={5},\npages={2974-2985},\ndoi={10.1063/1.451007},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-36549100097&doi=10.1063%2f1.451007&partnerID=40&md5=da961a8cf2a5bff07995eddaf9d3f4ef},\nabstract={Using the Landau expansion simple formulas are found that allow for systematic calculations of the tricritical temperature for a given molecular model. The theory is applied to some molecular models of the nematic-smectic A (NA) phase transition of liquid crystals. It is shown exactly that for a large class of molecular theories the NA tricritical temperature depends only on the couplings between the two lowest order translational order parameters and the orientational degrees of freedom. The relative importance of these couplings on tricritical behavior is studied in detail in the mean-field approximation. Numerical analysis is carried out for various molecular models of the smectic A phase including the McMillan model and its generalizations. It is shown that for an experimentally relevant class of models, the presence of second and higher order harmonics does not influence the tricritical temperature in an essential way, which means that the coupling between orientational and translational degrees of freedom is likely to be dominant in determining the character of the NA phase transition. Another interesting aspect of orientational-translational coupling is the possibility of the existence of the nematic-smectic A-reentrant nematic phase transition. © 1986 American Institute of Physics.},\ncorrespondence_address1={Longa, L.; Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57/VI, 7000 Stuttgart 80, Germany},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Simple model of induced smectic phases in binary mixtures of liquid crystals.\n \n \n \n \n\n\n \n De Jeu, W.; Longa, L.; and Demus, D.\n\n\n \n\n\n\n The Journal of Chemical Physics, 84(11): 6410-6420. 1986.\n \n\n\n\n
\n\n\n\n \n \n $\"Simple$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{DeJeu19866410,\nauthor={De Jeu, W.H. and Longa, L. and Demus, D.},\ntitle={Simple model of induced smectic phases in binary mixtures of liquid crystals},\njournal={The Journal of Chemical Physics},\nyear={1986},\nvolume={84},\nnumber={11},\npages={6410-6420},\ndoi={10.1063/1.450735},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2542573014&doi=10.1063%2f1.450735&partnerID=40&md5=a923732b20ea04de168061b4aa063968},\nabstract={The origin of the occurrence of induced smectic phases (ISP) in binary mixtures of liquid crystals is discussed. First the experimental evidence is reviewed, which leads to a division in strong complexing (electron-donor- acceptor complex as indicated by a charge-transfer band) and weak complexing, where only indirect evidence is available. Within the mean field approximation a theoretical model is given in which the influence of complex formation on the nematic-smectic A transition temperature is investigated for ideal orientational order. The ISP mechanism is attributed to the dispersive interactions between the complexes. However, in principle in a two-component mixture without complexing also ISP can be obtained due to interactions involving permanent dipoles. From fits to experimental phase diagrams and from estimates of parameters it follows that the first mechanism is more likely. Three nonstandard groups of phase diagrams with characteristic maxima or minima are predicted. The location of the extrema is calculated as a function of complex concentration and effective intermolecular interactions. The model correctly describes presently existing, very rich, experimental data. © 1986 American Institute of Physics.},\ncorrespondence_address1={De Jeu, W.H.; Solid State Physics Laboratory, Melkweg 1, 9718 EP Groningen, Netherlands},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Landau theory of the nematic-isotropic phase transition.\n \n \n \n \n\n\n \n Gramsbergen, E.; Longa, L.; and de Jeu, W.\n\n\n \n\n\n\n Physics Reports, 135(4): 195-257. 1986.\n \n\n\n\n
\n\n\n\n \n \n $\"Landau$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Gramsbergen1986195,\nauthor={Gramsbergen, E.F. and Longa, L. and de Jeu, W.H.},\ntitle={Landau theory of the nematic-isotropic phase transition},\njournal={Physics Reports},\nyear={1986},\nvolume={135},\nnumber={4},\npages={195-257},\ndoi={10.1016/0370-1573(86)90007-4},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000415732&doi=10.1016%2f0370-1573%2886%2990007-4&partnerID=40&md5=095db86410be7e100b2c3c1af9de7585},\nabstract={A review is given of the wide variety of predictions that results from a Landau-type of description of the nematic-isotropic phase transition. This includes a discussion of the nature of the order parameter and of the various types of possible phases, of the influence of external fields, and of the effect of inclusion of spatial variations of the order parameter. The various predictions are compared with the available experimental results. It is concluded that there is still no clear picture about the nature of the singularity near the nematic-isotropic phase transition. Though the assumption of classical (mean-field) critical behaviour seems to be incorrect, there is no conclusive proof which alternative applies. © 1986.},\ncorrespondence_address1={Gramsbergen, E.F.; Solid State Physics Laboratory, Melkweg 1, 9718 EP Groningen, Netherlands},\ndocument_type={Review},\nsource={Scopus},\n}\n\n

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\n \n 1985\n \n \n (1)\n \n \n

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\n \n \n

\n \n\n \n \n \n \n \n \n Mean field Ising model with fluctuating interaction parameter. Organization in the presence of noise.\n \n \n \n \n\n\n \n Gudowska-Nowak, E.\n\n\n \n\n\n\n Physics Letters A, 110(2): 106-108. 1985.\n \n\n\n\n
\n\n\n\n \n \n $\"Mean$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

\n

@ARTICLE{Gudowska-Nowak1985106,\nauthor={Gudowska-Nowak, E.},\ntitle={Mean field Ising model with fluctuating interaction parameter. Organization in the presence of noise},\njournal={Physics Letters A},\nyear={1985},\nvolume={110},\nnumber={2},\npages={106-108},\ndoi={10.1016/0375-9601(85)90330-5},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-46549092044&doi=10.1016%2f0375-9601%2885%2990330-5&partnerID=40&md5=d452744a50b12465f933bd9e2768864e},\nabstract={A dynamical model describing a system of spins near thermodynamic equilibrium is considered. Relaxation properties of the system are briefly discussed by assuming a noisy character of spin interactions. The possibility of spontaneous organization of the system is presented for a particular range of correlation time of the noise. © 1985.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1983\n \n \n (2)\n \n \n

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\n \n\n \n \n \n \n \n \n Mean-field model for antiferroelectric smectic-a liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; and de Jeu, W.\n\n\n \n\n\n\n Solid State Communications, 46(9): 693-696. 1983.\n \n\n\n\n
\n\n\n\n \n \n $\"Mean-field$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n

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@ARTICLE{Longa1983693,\nauthor={Longa, L. and de Jeu, W.H.},\ntitle={Mean-field model for antiferroelectric smectic-a liquid crystals},\njournal={Solid State Communications},\nyear={1983},\nvolume={46},\nnumber={9},\npages={693-696},\ndoi={10.1016/0038-1098(83)90509-4},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0020764233&doi=10.1016%2f0038-1098%2883%2990509-4&partnerID=40&md5=b93d434a6f224273dfba67c9d15f768e},\nabstract={A theoretical description is proposed for recently observed antiferroelectric smectic-A phases. Order parameters are introduced that retain information on the head-tail asymmetry of the constituent molecules and minimum ingredients are given for an averaged model potential. The calculations show that for high orientational order the antiferroelectric smectic-A structure is the best compromise between dipole repulsion and dispersive attraction. The resulting phase diagrams compare favorably with the experimental situation. © 1983.},\nkeywords={CRYSTALS, LIQUID},\ncorrespondence_address1={Longa, L.; Solid State Physics Laboratory, University of Groningen, Melkweg 1, 9718 EP Groningen, Netherlands},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n One-particle description of antiferroelectric smectic-A phases.\n \n \n \n \n\n\n \n Longa, L.; and De Jeu, W.\n\n\n \n\n\n\n Physical Review A, 28(4): 2380-2392. 1983.\n \n\n\n\n
\n\n\n\n \n \n $\"One-particle$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19832380,\nauthor={Longa, L. and De Jeu, W.H.},\ntitle={One-particle description of antiferroelectric smectic-A phases},\njournal={Physical Review A},\nyear={1983},\nvolume={28},\nnumber={4},\npages={2380-2392},\ndoi={10.1103/PhysRevA.28.2380},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0000842471&doi=10.1103%2fPhysRevA.28.2380&partnerID=40&md5=e8fbe895e9d04631aa0091f7f43e1857},\nabstract={A theoretical description is proposed for recently observed smectic-A phases which possess antiferroelectric character. Order parameters are introduced that retain information on the head-tail asymmetry of the constituent molecules. Minimum ingredients are given for a mean-field model potential, with the additional use of the approximation of ideal orientational order. With reasonable estimates for the various types of interaction (dispersion, dipole induced-dipole, and dipole-dipole) no ferroelectric smectic phase is found. Polarized layers can couple, however, to double layers, which leads to the antiferroelectric smectic-A2 phase. In addition, an antiferroelectric smectic-A1 phase is found, which has a single-layer periodicity. In that case there is a bilayer structure as in smectic-A2, which is now not long ranged. For high orientational order the antiferroelectricity of these phases is shown to be the best compromise between the repulsion of the permanent dipole moments and the attractive induced interactions. The relative stability of the various phases is considered in detail. The predictions agree well with present experimental observations. © 1983 The American Physical Society.},\ncorrespondence_address1={Longa, L.; Solid State Physics Laboratory, University of Groningen, Melkweg 1, 9718-EP Groningen, Netherlands},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n 1982\n \n \n (5)\n \n \n

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\n \n\n \n \n \n \n \n \n On the critical temperature of the two-dimensional Ising spin glass models.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and General, 15(3): L133-L137. 1982.\n \n\n\n\n
\n\n\n\n \n \n $\"On$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1982,\nauthor={Longa, L.},\ntitle={On the critical temperature of the two-dimensional Ising spin glass models},\njournal={Journal of Physics A: Mathematical and General},\nyear={1982},\nvolume={15},\nnumber={3},\npages={L133-L137},\ndoi={10.1088/0305-4470/15/3/010},\nart_number={010},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4243358991&doi=10.1088%2f0305-4470%2f15%2f3%2f010&partnerID=40&md5=900f49da4baad8f676b5a937ded32d72},\nabstract={The critical temperature for a quenched Ising model on the square lattice, with vertical random interactions, is found exactly. The detailed phase diagram is obtained for the bond-dilute model and for the model with mixed ferro- and antiferromagnetic delta distribution of the bonds. For the class of the models with symmetric distribution of the bonds (P(J)=P(-J)) it is shown that the critical temperature is always equal to zero. An immediate consequence of this is the theorem about the absence of the second-order phase transitions for the square, fully random, quenched Ising model with symmetric distribution of the bonds.},\ncorrespondence_address1={Longa, L.; Solid State Phys. Lab., Univ. of Groningen, Groningen, Netherlands},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Chain version of the constant coupling theory with application to nematic liquid crystals.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n Physics Letters A, 89(8): 407-410. 1982.\n \n\n\n\n
\n\n\n\n \n \n $\"Chain$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1982407,\nauthor={Longa, L.},\ntitle={Chain version of the constant coupling theory with application to nematic liquid crystals},\njournal={Physics Letters A},\nyear={1982},\nvolume={89},\nnumber={8},\npages={407-410},\ndoi={10.1016/0375-9601(82)90335-8},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-49049133735&doi=10.1016%2f0375-9601%2882%2990335-8&partnerID=40&md5=a5f2e67f0dc0111e36982f5d822bdf0b},\nabstract={A version of the constant coupling theory, based on exact solutions of some one-dimensional systems is proposed. The theory is applied to the Humpries-James-Luckhurst model of nematic liquid crystals. A good agreement of the results presented with predictions of computer simulations and with some experiments on real nematics is obtained. © 1982.},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Jagellonian University, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Chain version of the constant coupling theory with application to classical Heisenberg model.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n Zeitschrift für Physik B Condensed Matter, 47(1): 59-62. 1982.\n \n\n\n\n
\n\n\n\n \n \n $\"Chain$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa198259,\nauthor={Longa, L.},\ntitle={Chain version of the constant coupling theory with application to classical Heisenberg model},\njournal={Zeitschrift für Physik B Condensed Matter},\nyear={1982},\nvolume={47},\nnumber={1},\npages={59-62},\ndoi={10.1007/BF01686184},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34250231665&doi=10.1007%2fBF01686184&partnerID=40&md5=66f8169ca458ceb3621d7f50c64355ea},\nabstract={The version of the constant coupling theory, based on exact solutions of some onedimensional systems is proposed. The theory is applied to classical Heisenberg model. The expressions for the order parameters, internal energy, free energy, entropy and critical temperature are given. A good agreement of the presented results with predictions of high temperature series expansion is obtained. © 1982 Springer-Verlag.},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Jagellonian University, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Microscopic one-particle description of reentrant behavior in nematic liquid crystals.\n \n \n \n \n\n\n \n Longa, L.; and De Jeu, W.\n\n\n \n\n\n\n Physical Review A, 26(3): 1632-1647. 1982.\n \n\n\n\n
\n\n\n\n \n \n $\"Microscopic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19821632,\nauthor={Longa, L. and De Jeu, W.H.},\ntitle={Microscopic one-particle description of reentrant behavior in nematic liquid crystals},\njournal={Physical Review A},\nyear={1982},\nvolume={26},\nnumber={3},\npages={1632-1647},\ndoi={10.1103/PhysRevA.26.1632},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-2542640953&doi=10.1103%2fPhysRevA.26.1632&partnerID=40&md5=7696226e4aaa0e1228d41f0648c666c4},\nabstract={Reentrant behavior in nematic liquid crystals is described by the treatment of the system as a mixture of monomers and dimers interacting through attractive induced soft interactions as well as hard-core repulsions. It is shown that the induced forces between dimers, monomers, and between monomers and dimers, respectively, under suitable conditions of temperature and density lead to a smectic layer structure with a period equal to the length of the dimer. However, with decreasing temperature or increasing density, repulsive steric forces, due to the unfavorable packing of the dimers in the smectic planes, may take over and thus favor the nematic phase again. In agreement with experiment the best conditions to get a reentrant nematic phase are predicted for the ratio of the length of the dimer to that of the monomer between 1.3 and 1.4. The predictions of the model are in good agreement with currently available experimental data. In principle, the model applies also to discotic liquid crystals. © 1982 The American Physical Society.},\ncorrespondence_address1={Longa, L.; Solid State Physics Laboratory, University of Groningen, Melkweg 1, 9718 EP Groningen, Netherlands},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Stochastic simulation of a bistable chemical system: The two-box model.\n \n \n \n \n\n\n \n Frankowicz, M.; and Gudowska-Nowak, E.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 116(1-2): 331-344. 1982.\n \n\n\n\n
\n\n\n\n \n \n $\"Stochastic$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Frankowicz1982331,\nauthor={Frankowicz, M. and Gudowska-Nowak, E.},\ntitle={Stochastic simulation of a bistable chemical system: The two-box model},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={1982},\nvolume={116},\nnumber={1-2},\npages={331-344},\ndoi={10.1016/0378-4371(82)90249-7},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-49049144618&doi=10.1016%2f0378-4371%2882%2990249-7&partnerID=40&md5=0fef7f89487e3eb67244c8b4d47e37e0},\nabstract={The two-box model of a bistable chemical system is analyzed from the deterministic and stochastic point of view. It is shown that certain inhomogeneous states which are asymptotically stable in the deterministic case, appear during the stochastic evolution of the system as transient structures. These structures facilitate transitions between homogeneous steady states. Moreover, the dependence of the transition time on diffusion is not monotonous, but shows a significant minimum. © 1982.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%\n% Paweł Góra\n%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n\n

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\n \n 1980\n \n \n (2)\n \n \n

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\n \n\n \n \n \n \n \n \n Rigorous properties of the two-dimensional Ising model with periodically distributed frustration.\n \n \n \n \n\n\n \n Longa, L.; and Oleś, A.\n\n\n \n\n\n\n Journal of Physics A: Mathematical and General, 13(3): 1031-1042. 1980.\n \n\n\n\n
\n\n\n\n \n \n $\"Rigorous$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa19801031,\nauthor={Longa, L. and Oleś, A.M.},\ntitle={Rigorous properties of the two-dimensional Ising model with periodically distributed frustration},\njournal={Journal of Physics A: Mathematical and General},\nyear={1980},\nvolume={13},\nnumber={3},\npages={1031-1042},\ndoi={10.1088/0305-4470/13/3/036},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-0042152283&doi=10.1088%2f0305-4470%2f13%2f3%2f036&partnerID=40&md5=fafe55a7a5df9c4ab914cad508b62747},\nabstract={The two-dimensional Ising model on the square lattice with a fraction of periodically distributed frustrated cells equal to (Equation presented), and (Equation presented) is solved rigorously. It is shown that a phase transition, understood in the sense of a singularity in the specific heat, exists for the two latter model systems while it disappears for the completely frustrated lattice. The phase transition temperatures are lower than that of a ferromagnetic Ising model and increase with decreasing frustration. The mean-field approximation results suggest that long-range order is present in areas of nonfrustrated cells. © 1980 The Institute of Physics.},\ndocument_type={Article},\nsource={Scopus},\n}\n\n

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\n \n\n \n \n \n \n \n \n Critical temperature for random planar model with frustration.\n \n \n \n \n\n\n \n Longa, L.\n\n\n \n\n\n\n Physica A: Statistical Mechanics and its Applications, 103(3): 633-635. 1980.\n \n\n\n\n
\n\n\n\n \n \n $\"Critical$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Longa1980633,\nauthor={Longa, L.},\ntitle={Critical temperature for random planar model with frustration},\njournal={Physica A: Statistical Mechanics and its Applications},\nyear={1980},\nvolume={103},\nnumber={3},\npages={633-635},\ndoi={10.1016/0378-4371(80)90032-1},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-84916725303&doi=10.1016%2f0378-4371%2880%2990032-1&partnerID=40&md5=505574fc8ede448fd1bea9e855312e76},\nabstract={The critical temperature for a quenched Ising model on the square lattice, with vertical random interactions is found exactly. For the usual mixed ferro- and antiferromagnetic δ-distribution of the bonds, the calculated phase transition temperature versus the concentration of antiferromagnetic impurities is in agreement with the results of various molecular field approximations and of the renormalization group calculations on random planar Ising models. © 1980, All rights reserved.},\ncorrespondence_address1={Longa, L.; Department of Statistical Physics, Institute of Physics, Jagiellonian University, Cracow, Poland},\ndocument_type={Letter},\nsource={Scopus},\n}\n\n

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\n \n 1979\n \n \n (1)\n \n \n

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\n \n\n \n \n \n \n \n \n One-dimensional model with rotational and liquid-crystalline phase transitions.\n \n \n \n \n\n\n \n Fuliński, A.; and Longa, L.\n\n\n \n\n\n\n Journal of Statistical Physics, 21(6): 635-647. 1979.\n \n\n\n\n
\n\n\n\n \n \n $\"One-dimensional$ Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n \n \n abstract \n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n\n\n\n

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@ARTICLE{Fulinski1979635,\nauthor={Fuliński, A. and Longa, L.},\ntitle={One-dimensional model with rotational and liquid-crystalline phase transitions},\njournal={Journal of Statistical Physics},\nyear={1979},\nvolume={21},\nnumber={6},\npages={635-647},\ndoi={10.1007/BF01107906},\nurl={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-34250273187&doi=10.1007%2fBF01107906&partnerID=40&md5=ac96a5875b559d6b7a316cb52cc3f05e},\nabstract={A one-dimensional system of hard-rod particles with rotational-like internal degrees of freedom is considered. Particles interact with each other through the infinite-range, infinitely weak attractive Kac potential, and through a nearest-neighbor short-range potential. The latter depends also on the internal states of the interacting particles. Exact results for thermodynamic properties and for some correlation functions are obtained. It is found that the considered system exhibits several first-order transitions between phases with different "rotational structure," i.e., with different ordering with respect to the internal degrees of freedom. The calculated equation of state seems to suggest that in the solutions of liquid-crystalline substances in neutral solvents there may exist regions in which the coefficient of thermal expansion is negative-an effect similar to that well known in liquid water. © 1979 Plenum Publishing Corporation.},\nauthor_keywords={hard-core softening;  internal degrees of freedom;  liquid crystals;  One-dimensional systems;  phase transitions;  rotational order},\ncorrespondence_address1={Fuliński, A.; Institute of Physics, Jagellonian University, Kraków, Poland},\ndocument_type={Article},\nsource={Scopus},\n}\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%\n% Ewa Gudowska-Nowak\n%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n

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